{"id":34957,"date":"2023-10-11T18:41:00","date_gmt":"2023-10-11T18:41:00","guid":{"rendered":"https:\/\/www.splashlearn.com\/math-vocabulary\/?page_id=34957"},"modified":"2023-10-16T07:06:58","modified_gmt":"2023-10-16T07:06:58","slug":"supplementary-angles-definition-types-facts-examples-faqs","status":"publish","type":"post","link":"https:\/\/www.splashlearn.com\/math-vocabulary\/supplementary-angles","title":{"rendered":"Supplementary Angles &#8211; Definition, Types, Facts, Examples, FAQs"},"content":{"rendered":"<div class=\"aioseo-breadcrumbs\"><span class=\"aioseo-breadcrumb\">\n\tMath-Vocabulary\n<\/span><\/div>\n\n<div class=\"ub_table-of-contents\" data-showtext=\"show\" data-hidetext=\"hide\" data-scrolltype=\"auto\" id=\"ub_table-of-contents-6f37efc1-f03c-4ae3-adc8-07ed7fe5baea\" data-initiallyhideonmobile=\"false\"\n                    data-initiallyshow=\"true\"><div class=\"ub_table-of-contents-extra-container\"><div class=\"ub_table-of-contents-container ub_table-of-contents-1-column \"><ul><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/supplementary-angles#0-what-are-supplementary-angles>What Are Supplementary Angles?<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/supplementary-angles#2-properties-of-supplementary-angles>Properties of Supplementary Angles<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/supplementary-angles#4-how-to-find-supplementary-angles>How to Find Supplementary Angles<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/supplementary-angles#8-solved-examples-on-supplementary-angles>Solved Examples on Supplementary Angles<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/supplementary-angles#9-practice-problems-on-supplementary-angles>Practice Problems on Supplementary Angles<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/supplementary-angles#10-frequently-asked-questions-about-supplementary-angles>Frequently Asked Questions about Supplementary Angles<\/a><\/li><\/ul><\/div><\/div><\/div>\n\n\n<h2 class=\"wp-block-heading\" id=\"0-what-are-supplementary-angles\">What Are Supplementary Angles?<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Two angles are said to be supplementary when the sum of <\/strong><a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/angle-measure\"><strong>angle measures<\/strong><\/a><strong> is equal to <\/strong><strong>18<\/strong><strong>0<\/strong><strong>.&nbsp;<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Note that the two angles need not be adjacent to be supplementary. So, what do supplementary angles look like? Take a look!<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"wj-table-class\"><thead><tr><th><strong>\u201cSupplementary angles\u201d that are \u201cnot adjacent\u201d<\/strong><\/th><th><strong>\u201cSupplementary angles\u201d that are \u201cadjacent\u201d<\/strong><\/th><\/tr><\/thead><tbody><tr><td><img loading=\"lazy\" decoding=\"async\" width=\"250\" height=\"123\" class=\"wp-image-34962\" style=\"width: 250px;\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/10\/non-adjacent-supplementary-angles.png\" alt=\"Non-adjacent supplementary angles\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/10\/non-adjacent-supplementary-angles.png 423w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/10\/non-adjacent-supplementary-angles-300x148.png 300w\" sizes=\"auto, (max-width: 250px) 100vw, 250px\" \/><br>They simply add up to 180 degrees.<br>55\u00b0 + 125\u00b0 = 180\u00b0<\/td><td><img loading=\"lazy\" decoding=\"async\" width=\"250\" height=\"128\" class=\"wp-image-34964\" style=\"width: 250px;\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/10\/adjacent-supplementary-angles.png\" alt=\"Adjacent supplementary angles\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/10\/adjacent-supplementary-angles.png 434w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/10\/adjacent-supplementary-angles-300x154.png 300w\" sizes=\"auto, (max-width: 250px) 100vw, 250px\" \/><br>Adjacent supplementary angles form a straight <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/line\">line<\/a> and add up to 180 degrees.60\u00b0 + 120\u00b0 = 180\u00b0<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<div id=\"recommended-games-container-id\" class=\"recommended-games-container\"><h4 class=\"recommended-games-container-headline\">Recommended Games<\/h4><div class=\"recommended-games-container-slides\"><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/add-the-angles\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/geo_meas_add_angles_pt.png\" alt=\"Add the Angles Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Add the Angles Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/answer-questions-related-to-triangles\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/geometry_classify_tri_on_side_pt.png\" alt=\"Answer Questions Related to Triangles Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Answer Questions Related to Triangles Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/classify-triangles-and-rectangles-as-closed-shape\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/geometry_triangle_rectangle_2_pt.png\" alt=\"Classify Triangles and Rectangles as Closed Shape Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Classify Triangles and Rectangles as Closed Shape Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/classify-triangles\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/geometry_classify_triangles_pt.png\" alt=\"Classify Triangles Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Classify Triangles Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/draw-angles-in-multiples-of-10-degrees\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/geo_meas_draw_angle_1_pt.png\" alt=\"Draw Angles in Multiples of 10 Degrees Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Draw Angles in Multiples of 10 Degrees Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/draw-angles-nearest-5-and-1-degrees\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/geo_meas_draw_angle_2_pt.png\" alt=\"Draw Angles Nearest 5 and 1 Degrees Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Draw Angles Nearest 5 and 1 Degrees Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/draw-angles-using-a-protractor\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/geo_meas_draw_angle_protractor_pt.png\" alt=\"Draw Angles Using a Protractor Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Draw Angles Using a Protractor Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/find-right-angles\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/geometry_identify_right_angle_1_pt.png\" alt=\"Find Right Angles Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Find Right Angles Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/find-the-perimeter-of-the-squared-and-the-rectangles\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/geo_meas_peri_rectangle_2_pt.png\" alt=\"Find the Perimeter of the Squared and the Rectangles Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Find the Perimeter of the Squared and the Rectangles Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/identify-angles-by-their-types\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/geometry_types_of_angle_pt.png\" alt=\"Identify Angles by their Types Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Identify Angles by their Types Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><\/div><p class=\"recommended-games-container-desc\"><a href=\"https:\/\/www.splashlearn.com\/games\">More Games<\/a><\/p><button class=\"scroll-right-arrow\"><\/button><\/div><script type=\"text\/javascript\">\n        document.addEventListener(\"DOMContentLoaded\", function() {\n            const container = document.querySelector(\"#recommended-games-container-id\");\n            const slidesContainer = container.querySelector(\".recommended-games-container-slides\");\n            const cards = slidesContainer.querySelectorAll(\".game-card-container-outer\");\n            const scrollRightArrow = container.querySelector(\".scroll-right-arrow\");\n\n            function adjustContainerStyles() {\n                const numCards = cards.length;\n\n                if (numCards === 1) {\n                    container.style.maxWidth = \"30%\";\n                    container.style.textAlign = \"center\";\n                } else if (numCards === 2) {\n                    container.style.maxWidth = \"50%\";\n                    container.style.textAlign = \"center\";\n                } else if (numCards === 3) {\n                    container.style.maxWidth = \"75%\";\n                    container.style.textAlign = \"center\";\n                } else {\n                    container.style.maxWidth = \"\";\n                    container.style.textAlign = \"\";\n                }\n            }\n\n            function checkScrollPosition() {\n                const maxScrollLeft = slidesContainer.scrollWidth - slidesContainer.clientWidth;\n                if ((slidesContainer.scrollLeft + 10) >= maxScrollLeft) {\n                    scrollRightArrow.style.display = \"none\"; \/\/ Hide the arrow if fully scrolled\n                } else {\n                    scrollRightArrow.style.display = \"block\"; \/\/ Show the arrow if not fully scrolled\n                }\n            }\n\n            scrollRightArrow.addEventListener(\"click\", function() {\n                const scrollAmount = 300; \/\/ Adjust based on the container's width and your needs\n                slidesContainer.scrollLeft += scrollAmount;\n                setTimeout(checkScrollPosition, 100); \/\/ Delay to allow scroll update\n            });\n\n            adjustContainerStyles();\n            checkScrollPosition();\n            slidesContainer.addEventListener(\"scroll\", checkScrollPosition);\n        });\n    <\/script><h2 class=\"wp-block-heading\" id=\"1-supplementary-angles-definition\">Supplementary Angles: Definition<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">Supplementary angles can be defined as a pair of <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/angle\">angles<\/a> that add up to 180\u00b0.<\/p>\n\n\n\n<div id=\"recommended-worksheets-container-id\" class=\"recommended-games-container\"><h4 class=\"recommended-games-container-headline\">Recommended Worksheets<\/h4><div class=\"recommended-games-container-slides\"><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/count-sides-and-angles\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/count-sides-and-angles.jpeg\" alt=\"Count Sides and Angles Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/rectangles-and-triangles\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/rectangles-and-triangles.jpeg\" alt=\"Rectangles and Triangles Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/separate-out-the-triangles\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/separate-out-the-triangles.jpeg\" alt=\"Separate Out the Triangles Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><\/div><p class=\"recommended-games-container-desc\"><a href=\"https:\/\/www.splashlearn.com\/worksheets\">More Worksheets<\/a><\/p><button class=\"scroll-right-arrow\"><\/button><\/div><script type=\"text\/javascript\">\n        document.addEventListener(\"DOMContentLoaded\", function() {\n            const container = document.querySelector(\"#recommended-worksheets-container-id\");\n            const slidesContainer = container.querySelector(\".recommended-games-container-slides\");\n            const cards = slidesContainer.querySelectorAll(\".worksheet-card-container-outer\");\n            const scrollRightArrow = container.querySelector(\".scroll-right-arrow\");\n\n            function adjustContainerStyles() {\n                const numCards = cards.length;\n\n                if (numCards === 1) {\n                    container.style.maxWidth = \"30%\";\n                    container.style.textAlign = \"center\";\n                } else if (numCards === 2) {\n                    container.style.maxWidth = \"50%\";\n                    container.style.textAlign = \"center\";\n                } else if (numCards === 3) {\n                    container.style.maxWidth = \"75%\";\n                    container.style.textAlign = \"center\";\n                } else {\n                    container.style.maxWidth = \"\";\n                    container.style.textAlign = \"\";\n                }\n            }\n\n            function checkScrollPosition() {\n                const maxScrollLeft = slidesContainer.scrollWidth - slidesContainer.clientWidth;\n                if ((slidesContainer.scrollLeft + 10) >= maxScrollLeft) {\n                    scrollRightArrow.style.display = \"none\"; \/\/ Hide the arrow if fully scrolled\n                } else {\n                    scrollRightArrow.style.display = \"block\"; \/\/ Show the arrow if not fully scrolled\n                }\n            }\n\n            scrollRightArrow.addEventListener(\"click\", function() {\n                const scrollAmount = 300; \/\/ Adjust based on the container's width and your needs\n                slidesContainer.scrollLeft += scrollAmount;\n                setTimeout(checkScrollPosition, 100); \/\/ Delay to allow scroll update\n            });\n\n            adjustContainerStyles();\n            checkScrollPosition();\n            slidesContainer.addEventListener(\"scroll\", checkScrollPosition);\n        });\n    <\/script><h2 class=\"wp-block-heading\" id=\"2-properties-of-supplementary-angles\">Properties of Supplementary Angles<\/h2>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Supplementary angles are a pair of angles that add up to 180\u00b0.<\/li>\n\n\n\n<li>One supplementary angle equals the difference between 180\u00b0 and the other supplementary angle.<\/li>\n\n\n\n<li>The <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/adjacent-angles\">adjacent angles<\/a> formed by two intersecting lines are always supplementary.<\/li>\n\n\n\n<li><a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/linear-pair-of-angles\">Angles in a linear pair<\/a> are always supplementary, but two supplementary angles need not form a linear pair.<\/li>\n\n\n\n<li>Adjacent supplementary angles form a straight line.<\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"3-what-are-adjacent-and-non-adjacent-supplementary-angles\">What Are Adjacent and Non-adjacent Supplementary Angles?<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">The supplementary angles can be both non-adjacent or adjacent. What does a supplementary angle look like? Let us move forward to learn about the two types of supplementary angles.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Adjacent Supplementary Angles:<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">The adjacent supplementary angles are the supplementary angles that share a common <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/vertex\">vertex<\/a> and a common side. The angles together form a straight angle (and thus, a straight line). They are also called \u2018angles in a linear pair\u2019 or \u2018linear pair of angles.\u2019<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Example: <\/strong>Consider the following diagram. The angles \u2220XOZ and \u2220YOZ are adjacent supplementary angles. They share a common vertex O and a common side OZ.&nbsp;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Also, 60\u00b0 + 120\u00b0 = 180\u00b0<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"611\" height=\"530\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/10\/adjacent-supplementary-angles-1.png\" alt=\"Adjacent supplementary angles.\" class=\"wp-image-34968\" title=\"Adjacent supplementary angles.\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/10\/adjacent-supplementary-angles-1.png 611w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/10\/adjacent-supplementary-angles-1-300x260.png 300w\" sizes=\"auto, (max-width: 611px) 100vw, 611px\" \/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Non-Adjacent Supplementary Angles:<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">The non-adjacent supplementary angles are the angles which are not adjacent, but the sum of their measures equals 180 degrees. Any two angles whose sum is 180 degrees are supplementary!<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"524\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/10\/non-adjacent-supplementary-angles-1.png\" alt=\"Non-adjacent supplementary angles\" class=\"wp-image-34970\" title=\"Non-adjacent supplementary angles\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/10\/non-adjacent-supplementary-angles-1.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/10\/non-adjacent-supplementary-angles-1-300x254.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"4-how-to-find-supplementary-angles\">How to Find Supplementary Angles<\/h2>\n\n\n\n<ol class=\"wp-block-list\">\n<li>Measure the angles.<\/li>\n\n\n\n<li>Add the measurements of the two angles and check if they add up to 180 degrees.&nbsp;<\/li>\n\n\n\n<li>The angles will be supplementary if the sum equals 180 degrees.<\/li>\n<\/ol>\n\n\n\n<p class=\"wp-block-paragraph\">For two angles X and Y to be supplementary, we must have<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>m<\/strong><strong>\u2220<\/strong><strong>X + m<\/strong><strong>\u2220<\/strong><strong>Y = 180\u00b0<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">You can also find the other counterpart of a given angle to find two supplementary angles.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Example: <\/strong>What will be the supplementary angle of an angle of 70\u00b0?<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">We know that the sum of two supplementary angles should be 180\u00b0<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Let us assume the missing angle to be x.&nbsp;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">70\u00b0 + x = 180\u00b0<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">On solving for x, we get<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">x = 110\u00b0.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"5-supplementary-angles-theorem-and-proof\">Supplementary Angles Theorem and Proof<\/h2>\n\n\n<div class=\"ub-styled-box ub-notification-box\" id=\"ub-styled-box-5a4a4b16-c428-415c-b526-9ec5c9fc24af\">\n\n\n<p class=\"wp-block-paragraph\"><strong>Statement: If two angles are supplementary to the same angle, they are congruent.<\/strong><\/p>\n\n\n<\/div>\n\n\n<p class=\"wp-block-paragraph\"><strong>Proof:<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Suppose \u2220x and \u2220y are two different angles supplementary to a third angle \u2220a.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u2220x + \u2220a = 180\u00b0 \u2026\u2026.(1)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u2220y + \u2220a = 180\u00b0 \u2026\u2026.(2)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">From equations (1) and (2), we get<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u2220x + \u2220a =&nbsp; \u2220y + \u2220a<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u2220x = \u2220y<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Hence, proved.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"6-facts-about-supplementary-angles\">Facts about Supplementary Angles<\/h2>\n\n\n\n<div style=\"color:#0369a1;background-color:#e0f2fe\" class=\"wp-block-roelmagdaleno-callout-block has-text-color has-background is-layout-flex wp-container-roelmagdaleno-callout-block-is-layout-4fc3f8e1 wp-block-roelmagdaleno-callout-block-is-layout-flex\"><div>\n<ul class=\"wp-block-list\">\n<li>If two angles are supplementary and one of them is a <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/right-angle\">right angle<\/a>, then the other angle is also a right angle.<\/li>\n\n\n\n<li>The supplementary angle of an <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/acute-angle\">acute angle<\/a> is an <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/obtuse-angle\">obtuse angle<\/a>, and vice-versa.<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"7-conclusion\">Conclusion<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">In this article, we learned about the supplementary angles, definition, properties, and also the theorem.We also discussed how to find supplementary angles. Let us move ahead to the numerical section to have a better comprehension of the concepts through solved examples and practice problems.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"8-solved-examples-on-supplementary-angles\">Solved Examples on Supplementary Angles<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Example 1: Two angles are supplementary. Find the other angle if one angle is <\/strong>80\u00b0<strong>.<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Solution:<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Let the missing angle be x.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">x + 80\u00b0 = 180\u00b0 \u2026Angles are supplementary.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Solving for x, we get<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">x = 100\u00b0<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Therefore, the measure of the other supplementary angle is 100\u00b0.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Example 2: Two angles that are supplementary. One angle is <\/strong>35\u00b0<strong> greater than the other. Find the missing angle.<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Solution:<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Let us assume that the measure of one angle is x\u00b0.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Then, other angle = x\u00b0 + 35\u00b0<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">So, x\u00b0 + (x\u00b0 + 35\u00b0) = 180\u00b0<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">On simplifying:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">2x\u00b0 + 35\u00b0 = 180\u00b0<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">2x\u00b0= 145\u00b0<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">x\u00b0 = 72.5\u00b0<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">So, the other angle is:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">x\u00b0 + 35\u00b0 = 72.5\u00b0 + 35\u00b0 = 107.5\u00b0<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Therefore, 72.5\u00b0 and 107.5\u00b0 are the measures of the smaller and larger angles, respectively.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Example 3: What will be the measures of two supplementary angles if the first angle is three times the second angle?<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Solution:<\/strong><div class=\"spq_wrapper\"><h2 style=\"display:none;\">Supplementary Angles - Definition, Types, Facts, Examples, FAQs<\/h2><p style=\"display:none;\">Attend this quiz & Test your knowledge.<\/p><div class=\"spq_question_wrapper\" data-answer=\"2\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">1<\/span><h3 class=\"sqp_question_text\">What is the sum of two supplementary angles?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">90 degrees<\/div><div class=\"spq_answer_block\" data-value=\"1\">270 degrees<\/div><div class=\"spq_answer_block\" data-value=\"2\">180 degrees<\/div><div class=\"spq_answer_block\" data-value=\"3\">360 degrees<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: 180 degrees<br\/>If two angles are supplementary, that means the pair of angles sum up to 180 degrees.\r\n\r\n\r\n\r\n<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"2\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">2<\/span><h3 class=\"sqp_question_text\">What will be the other supplementary angle if one angle is 70 degrees?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">90 degrees<\/div><div class=\"spq_answer_block\" data-value=\"1\">100 degrees<\/div><div class=\"spq_answer_block\" data-value=\"2\">110 degrees<\/div><div class=\"spq_answer_block\" data-value=\"3\">105 degrees<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: 110 degrees<br\/>We find the supplementary angle by subtracting the given angle from 180 degrees.<br>\r\n180\u00b0 - 70\u00b0 = 110\u00b0<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"2\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">3<\/span><h3 class=\"sqp_question_text\">Which of the following pairs of angles are supplementary?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">40\u00b0 and 100\u00b0<\/div><div class=\"spq_answer_block\" data-value=\"1\">110\u00b0 and 50\u00b0<\/div><div class=\"spq_answer_block\" data-value=\"2\">75\u00b0 and 105\u00b0<\/div><div class=\"spq_answer_block\" data-value=\"3\">160\u00b0 and 30\u00b0<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: 75\u00b0 and 105\u00b0<br\/>To decide if two angles are supplementary, we add them. Since 75\u00b0 + 105\u00b0 = 180\u00b0, they are called supplementary angles.<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"2\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">4<\/span><h3 class=\"sqp_question_text\">The supplementary angle of a right angle is always<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">an acute angle<\/div><div class=\"spq_answer_block\" data-value=\"1\">an obtuse angle<\/div><div class=\"spq_answer_block\" data-value=\"2\">a right angle<\/div><div class=\"spq_answer_block\" data-value=\"3\">a straight angle<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: a right angle<br\/>The supplementary angle of a right angle is always a right angle since 90\u00b0 + 90\u00b0 = 180\u00b0.<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"2\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">5<\/span><h3 class=\"sqp_question_text\">A pair of supplementary angles are<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">50\u00b0, 120\u00b0<\/div><div class=\"spq_answer_block\" data-value=\"1\">60\u00b0, 135\u00b0<\/div><div class=\"spq_answer_block\" data-value=\"2\">48\u00b0, 132\u00b0<\/div><div class=\"spq_answer_block\" data-value=\"3\">60\u00b0, 50\u00b0<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: 48\u00b0, 132\u00b0<br\/>To check whether the pairs are supplementary, we must add them up to see whether the sum is exactly equal to 180\u00b0.<br>\r\n48\u00b0 + 132\u00b0 = 180\u00b0.<\/span><\/div><\/div><\/div><\/div>  <script type=\"application\/ld+json\">{\n        \"@context\": \"https:\/\/schema.org\/\", \n        \"@type\": \"Quiz\", \n        \"typicalAgeRange\": \"3-11\",\n        \"educationalLevel\":  \"beginner\",\n        \"assesses\" : \"Attend this quiz & Test your knowledge.\",\n        \"educationalAlignment\": [\n              {\n                \"@type\": \"AlignmentObject\",\n                \"alignmentType\": \"educationalSubject\",\n                \"targetName\": \"Math\"\n              }] ,\n        \"name\": \"Supplementary Angles - 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70\u00b0 = 110\u00b0\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"90 degrees\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"We find the supplementary angle by subtracting the given angle from 180 degrees.<br>\r\n180\u00b0 - 70\u00b0 = 110\u00b0\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"100 degrees\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"We find the supplementary angle by subtracting the given angle from 180 degrees.<br>\r\n180\u00b0 - 70\u00b0 = 110\u00b0\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"105 degrees\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"We find the supplementary angle by subtracting the given angle from 180 degrees.<br>\r\n180\u00b0 - 70\u00b0 = 110\u00b0\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 2,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"110 degrees\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"We find the supplementary angle by subtracting the given angle from 180 degrees.<br>\r\n180\u00b0 - 70\u00b0 = 110\u00b0\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"We find the supplementary angle by subtracting the given angle from 180 degrees.<br>\r\n180\u00b0 - 70\u00b0 = 110\u00b0\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Which of the following pairs of angles are supplementary?\",\n                    \"text\": \"Which of the following pairs of angles are supplementary?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"To decide if two angles are supplementary, we add them. Since 75\u00b0 + 105\u00b0 = 180\u00b0, they are called supplementary angles.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"40\u00b0 and 100\u00b0\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"To decide if two angles are supplementary, we add them. Since 75\u00b0 + 105\u00b0 = 180\u00b0, they are called supplementary angles.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"110\u00b0 and 50\u00b0\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"To decide if two angles are supplementary, we add them. Since 75\u00b0 + 105\u00b0 = 180\u00b0, they are called supplementary angles.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"160\u00b0 and 30\u00b0\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"To decide if two angles are supplementary, we add them. Since 75\u00b0 + 105\u00b0 = 180\u00b0, they are called supplementary angles.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 2,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"75\u00b0 and 105\u00b0\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"To decide if two angles are supplementary, we add them. Since 75\u00b0 + 105\u00b0 = 180\u00b0, they are called supplementary angles.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"To decide if two angles are supplementary, we add them. Since 75\u00b0 + 105\u00b0 = 180\u00b0, they are called supplementary angles.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"The supplementary angle of a right angle is always\",\n                    \"text\": \"The supplementary angle of a right angle is always\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"The supplementary angle of a right angle is always a right angle since 90\u00b0 + 90\u00b0 = 180\u00b0.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"an acute angle\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The supplementary angle of a right angle is always a right angle since 90\u00b0 + 90\u00b0 = 180\u00b0.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"an obtuse angle\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The supplementary angle of a right angle is always a right angle since 90\u00b0 + 90\u00b0 = 180\u00b0.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"a straight angle\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The supplementary angle of a right angle is always a right angle since 90\u00b0 + 90\u00b0 = 180\u00b0.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 2,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"a right angle\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"The supplementary angle of a right angle is always a right angle since 90\u00b0 + 90\u00b0 = 180\u00b0.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"The supplementary angle of a right angle is always a right angle since 90\u00b0 + 90\u00b0 = 180\u00b0.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"A pair of supplementary angles are\",\n                    \"text\": \"A pair of supplementary angles are\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"To check whether the pairs are supplementary, we must add them up to see whether the sum is exactly equal to 180\u00b0.<br>\r\n48\u00b0 + 132\u00b0 = 180\u00b0.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"50\u00b0, 120\u00b0\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"To check whether the pairs are supplementary, we must add them up to see whether the sum is exactly equal to 180\u00b0.<br>\r\n48\u00b0 + 132\u00b0 = 180\u00b0.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"60\u00b0, 135\u00b0\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"To check whether the pairs are supplementary, we must add them up to see whether the sum is exactly equal to 180\u00b0.<br>\r\n48\u00b0 + 132\u00b0 = 180\u00b0.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"60\u00b0, 50\u00b0\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"To check whether the pairs are supplementary, we must add them up to see whether the sum is exactly equal to 180\u00b0.<br>\r\n48\u00b0 + 132\u00b0 = 180\u00b0.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 2,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"48\u00b0, 132\u00b0\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"To check whether the pairs are supplementary, we must add them up to see whether the sum is exactly equal to 180\u00b0.<br>\r\n48\u00b0 + 132\u00b0 = 180\u00b0.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"To check whether the pairs are supplementary, we must add them up to see whether the sum is exactly equal to 180\u00b0.<br>\r\n48\u00b0 + 132\u00b0 = 180\u00b0.\"\n                      }\n                    } \n\n                    }]}<\/script><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Let the smaller angle be x\u00b0.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Thus, the larger angle = 3x\u00b0.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">x\u00b0 + 3x\u00b0 = 180\u00b0 \u2026Angles are supplementary.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">On simplifying, we get<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">4x\u00b0 = 180\u00b0<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">x\u00b0 = 45\u00b0<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">So, the larger angle is:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">3x\u00b0 = 3(45\u00b0)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">x\u00b0 = 135\u00b0<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Therefore, 45\u00b0 and 135\u00b0 are the values of the two supplementary angles.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Example 4: If two supplementary angles are in the ratio 3 : 2, find the measures of angles.<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Solution:<\/strong>&nbsp;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Let the measures of two angles be 3k\u00b0 and 2k\u00b0 respectively.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">3k\u00b0 + 2k\u00b0 = 180\u00b0<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">5k\u00b0 = 180\u00b0<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">k = 36<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Now, we get the measures of the two angles.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">3k\u00b0 = (3 \u00d7 36)\u00b0 = 108\u00b0<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">2k\u00b0 = (2 \u00d7 36)\u00b0 = 72\u00b0<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Therefore, 108\u00b0 and 72\u00b0 are the measures of two supplementary angles.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"9-practice-problems-on-supplementary-angles\">Practice Problems on Supplementary Angles<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\"><div class=\"spq_wrapper\"><h2 style=\"display:none;\">Supplementary Angles - Definition, Types, Facts, Examples, FAQs<\/h2><p style=\"display:none;\">Attend this quiz & Test your knowledge.<\/p><div class=\"spq_question_wrapper\" data-answer=\"2\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">1<\/span><h3 class=\"sqp_question_text\">What is the sum of two supplementary angles?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">90 degrees<\/div><div class=\"spq_answer_block\" data-value=\"1\">270 degrees<\/div><div class=\"spq_answer_block\" data-value=\"2\">180 degrees<\/div><div class=\"spq_answer_block\" data-value=\"3\">360 degrees<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: 180 degrees<br\/>If two angles are supplementary, that means the pair of angles sum up to 180 degrees.\r\n\r\n\r\n\r\n<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"2\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">2<\/span><h3 class=\"sqp_question_text\">What will be the other supplementary angle if one angle is 70 degrees?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">90 degrees<\/div><div class=\"spq_answer_block\" data-value=\"1\">100 degrees<\/div><div class=\"spq_answer_block\" data-value=\"2\">110 degrees<\/div><div class=\"spq_answer_block\" data-value=\"3\">105 degrees<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: 110 degrees<br\/>We find the supplementary angle by subtracting the given angle from 180 degrees.<br>\r\n180\u00b0 - 70\u00b0 = 110\u00b0<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"2\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">3<\/span><h3 class=\"sqp_question_text\">Which of the following pairs of angles are supplementary?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">40\u00b0 and 100\u00b0<\/div><div class=\"spq_answer_block\" data-value=\"1\">110\u00b0 and 50\u00b0<\/div><div class=\"spq_answer_block\" data-value=\"2\">75\u00b0 and 105\u00b0<\/div><div class=\"spq_answer_block\" data-value=\"3\">160\u00b0 and 30\u00b0<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: 75\u00b0 and 105\u00b0<br\/>To decide if two angles are supplementary, we add them. Since 75\u00b0 + 105\u00b0 = 180\u00b0, they are called supplementary angles.<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"2\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">4<\/span><h3 class=\"sqp_question_text\">The supplementary angle of a right angle is always<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">an acute angle<\/div><div class=\"spq_answer_block\" data-value=\"1\">an obtuse angle<\/div><div class=\"spq_answer_block\" data-value=\"2\">a right angle<\/div><div class=\"spq_answer_block\" data-value=\"3\">a straight angle<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: a right angle<br\/>The supplementary angle of a right angle is always a right angle since 90\u00b0 + 90\u00b0 = 180\u00b0.<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"2\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">5<\/span><h3 class=\"sqp_question_text\">A pair of supplementary angles are<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">50\u00b0, 120\u00b0<\/div><div class=\"spq_answer_block\" data-value=\"1\">60\u00b0, 135\u00b0<\/div><div class=\"spq_answer_block\" data-value=\"2\">48\u00b0, 132\u00b0<\/div><div class=\"spq_answer_block\" data-value=\"3\">60\u00b0, 50\u00b0<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: 48\u00b0, 132\u00b0<br\/>To check whether the pairs are supplementary, we must add them up to see whether the sum is exactly equal to 180\u00b0.<br>\r\n48\u00b0 + 132\u00b0 = 180\u00b0.<\/span><\/div><\/div><\/div><\/div>  <script type=\"application\/ld+json\">{\n        \"@context\": \"https:\/\/schema.org\/\", \n        \"@type\": \"Quiz\", \n        \"typicalAgeRange\": \"3-11\",\n        \"educationalLevel\":  \"beginner\",\n        \"assesses\" : \"Attend this quiz & Test your knowledge.\",\n        \"educationalAlignment\": [\n              {\n                \"@type\": \"AlignmentObject\",\n                \"alignmentType\": \"educationalSubject\",\n                \"targetName\": \"Math\"\n              }] ,\n        \"name\": \"Supplementary Angles - Definition, Types, Facts, Examples, FAQs\",        \n        \"about\": {\n                \"@type\": \"Thing\",\n                \"name\": \"Supplementary Angles\"\n        },  \n        \"hasPart\": [{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"What is the sum of two supplementary angles?\",\n                    \"text\": \"What is the sum of two supplementary angles?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"If two angles are supplementary, that means the pair of angles sum up to 180 degrees.\r\n\r\n\r\n\r\n\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"90 degrees\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"If two angles are supplementary, that means the pair of angles sum up to 180 degrees.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"270 degrees\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"If two angles are supplementary, that means the pair of angles sum up to 180 degrees.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"360 degrees\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"If two angles are supplementary, that means the pair of angles sum up to 180 degrees.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 2,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"180 degrees\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"If two angles are supplementary, that means the pair of angles sum up to 180 degrees.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"If two angles are supplementary, that means the pair of angles sum up to 180 degrees.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"What will be the other supplementary angle if one angle is 70 degrees?\",\n                    \"text\": \"What will be the other supplementary angle if one angle is 70 degrees?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"We find the supplementary angle by subtracting the given angle from 180 degrees.<br>\r\n180\u00b0 - 70\u00b0 = 110\u00b0\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"90 degrees\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"We find the supplementary angle by subtracting the given angle from 180 degrees.<br>\r\n180\u00b0 - 70\u00b0 = 110\u00b0\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"100 degrees\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"We find the supplementary angle by subtracting the given angle from 180 degrees.<br>\r\n180\u00b0 - 70\u00b0 = 110\u00b0\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"105 degrees\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"We find the supplementary angle by subtracting the given angle from 180 degrees.<br>\r\n180\u00b0 - 70\u00b0 = 110\u00b0\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 2,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"110 degrees\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"We find the supplementary angle by subtracting the given angle from 180 degrees.<br>\r\n180\u00b0 - 70\u00b0 = 110\u00b0\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"We find the supplementary angle by subtracting the given angle from 180 degrees.<br>\r\n180\u00b0 - 70\u00b0 = 110\u00b0\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Which of the following pairs of angles are supplementary?\",\n                    \"text\": \"Which of the following pairs of angles are supplementary?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"To decide if two angles are supplementary, we add them. Since 75\u00b0 + 105\u00b0 = 180\u00b0, they are called supplementary angles.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"40\u00b0 and 100\u00b0\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"To decide if two angles are supplementary, we add them. Since 75\u00b0 + 105\u00b0 = 180\u00b0, they are called supplementary angles.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"110\u00b0 and 50\u00b0\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"To decide if two angles are supplementary, we add them. Since 75\u00b0 + 105\u00b0 = 180\u00b0, they are called supplementary angles.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"160\u00b0 and 30\u00b0\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"To decide if two angles are supplementary, we add them. Since 75\u00b0 + 105\u00b0 = 180\u00b0, they are called supplementary angles.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 2,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"75\u00b0 and 105\u00b0\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"To decide if two angles are supplementary, we add them. Since 75\u00b0 + 105\u00b0 = 180\u00b0, they are called supplementary angles.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"To decide if two angles are supplementary, we add them. Since 75\u00b0 + 105\u00b0 = 180\u00b0, they are called supplementary angles.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"The supplementary angle of a right angle is always\",\n                    \"text\": \"The supplementary angle of a right angle is always\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"The supplementary angle of a right angle is always a right angle since 90\u00b0 + 90\u00b0 = 180\u00b0.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"an acute angle\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The supplementary angle of a right angle is always a right angle since 90\u00b0 + 90\u00b0 = 180\u00b0.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"an obtuse angle\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The supplementary angle of a right angle is always a right angle since 90\u00b0 + 90\u00b0 = 180\u00b0.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"a straight angle\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The supplementary angle of a right angle is always a right angle since 90\u00b0 + 90\u00b0 = 180\u00b0.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 2,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"a right angle\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"The supplementary angle of a right angle is always a right angle since 90\u00b0 + 90\u00b0 = 180\u00b0.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"The supplementary angle of a right angle is always a right angle since 90\u00b0 + 90\u00b0 = 180\u00b0.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"A pair of supplementary angles are\",\n                    \"text\": \"A pair of supplementary angles are\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"To check whether the pairs are supplementary, we must add them up to see whether the sum is exactly equal to 180\u00b0.<br>\r\n48\u00b0 + 132\u00b0 = 180\u00b0.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"50\u00b0, 120\u00b0\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"To check whether the pairs are supplementary, we must add them up to see whether the sum is exactly equal to 180\u00b0.<br>\r\n48\u00b0 + 132\u00b0 = 180\u00b0.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"60\u00b0, 135\u00b0\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"To check whether the pairs are supplementary, we must add them up to see whether the sum is exactly equal to 180\u00b0.<br>\r\n48\u00b0 + 132\u00b0 = 180\u00b0.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"60\u00b0, 50\u00b0\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"To check whether the pairs are supplementary, we must add them up to see whether the sum is exactly equal to 180\u00b0.<br>\r\n48\u00b0 + 132\u00b0 = 180\u00b0.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 2,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"48\u00b0, 132\u00b0\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"To check whether the pairs are supplementary, we must add them up to see whether the sum is exactly equal to 180\u00b0.<br>\r\n48\u00b0 + 132\u00b0 = 180\u00b0.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"To check whether the pairs are supplementary, we must add them up to see whether the sum is exactly equal to 180\u00b0.<br>\r\n48\u00b0 + 132\u00b0 = 180\u00b0.\"\n                      }\n                    } \n\n                    }]}<\/script><\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"10-frequently-asked-questions-about-supplementary-angles\">Frequently Asked Questions about Supplementary Angles<\/h2>\n\n\n<div class=\"wp-block-ub-content-toggle\" id=\"ub-content-toggle-b8abe982-c39f-4bca-ab74-f93f49e622cd\" data-mobilecollapse=\"true\" data-desktopcollapse=\"true\">\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-0-b8abe982-c39f-4bca-ab74-f93f49e622cd\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-b8abe982-c39f-4bca-ab74-f93f49e622cd\"><strong>What is the difference between complementary and supplementary angles?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-0-b8abe982-c39f-4bca-ab74-f93f49e622cd\">\n\n<p class=\"wp-block-paragraph\">The complementary angles are a pair of angles that add up to 90\u00b0, while the supplementary angles add up to 180\u00b0.<\/p>\n\n<\/div><\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-1-b8abe982-c39f-4bca-ab74-f93f49e622cd\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-b8abe982-c39f-4bca-ab74-f93f49e622cd\"><strong>Can two acute angles be supplementary angles?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-1-b8abe982-c39f-4bca-ab74-f93f49e622cd\">\n\n<p class=\"wp-block-paragraph\">No, two acute angles can never be supplementary because they can never add up to 180\u00b0.<\/p>\n\n<\/div><\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-2-b8abe982-c39f-4bca-ab74-f93f49e622cd\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-b8abe982-c39f-4bca-ab74-f93f49e622cd\"><strong>Do supplementary angles need to be adjacent?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-2-b8abe982-c39f-4bca-ab74-f93f49e622cd\">\n\n<p class=\"wp-block-paragraph\">No, two supplementary angles may or may not be adjacent.<\/p>\n\n<\/div><\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-3-b8abe982-c39f-4bca-ab74-f93f49e622cd\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-b8abe982-c39f-4bca-ab74-f93f49e622cd\"><strong>What are angles in a linear pair? Are they supplementary?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-3-b8abe982-c39f-4bca-ab74-f93f49e622cd\">\n\n<p class=\"wp-block-paragraph\">Angles in a linear pair are a pair of adjacent angles formed when two lines intersect each other. They are always supplementary.<\/p>\n\n<\/div><\/div>\n<\/div>","protected":false},"excerpt":{"rendered":"<p>What Are Supplementary Angles? Two angles are said to be supplementary when the sum of angle measures is equal to 180.&nbsp; Note that the two angles need not be adjacent to be supplementary. So, what do supplementary angles look like? Take a look! \u201cSupplementary angles\u201d that are \u201cnot adjacent\u201d \u201cSupplementary angles\u201d that are \u201cadjacent\u201d They &#8230; <a title=\"Supplementary Angles &#8211; Definition, Types, Facts, Examples, FAQs\" class=\"read-more\" href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/supplementary-angles\" aria-label=\"More on Supplementary Angles &#8211; Definition, Types, Facts, Examples, FAQs\">Read more<\/a><\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"ub_ctt_via":"","footnotes":""},"categories":[1],"tags":[],"class_list":["post-34957","post","type-post","status-publish","format-standard","hentry","category-all"],"featured_image_src":null,"author_info":{"display_name":"Mithun Jhawar","author_link":"https:\/\/www.splashlearn.com\/math-vocabulary\/author\/mithun-jhawarsplashlearn-com\/"},"acf":[],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/34957","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/comments?post=34957"}],"version-history":[{"count":9,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/34957\/revisions"}],"predecessor-version":[{"id":34976,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/34957\/revisions\/34976"}],"wp:attachment":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/media?parent=34957"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/categories?post=34957"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/tags?post=34957"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}