{"id":35610,"date":"2023-11-09T07:39:01","date_gmt":"2023-11-09T07:39:01","guid":{"rendered":"https:\/\/www.splashlearn.com\/math-vocabulary\/?page_id=35610"},"modified":"2024-02-05T16:20:32","modified_gmt":"2024-02-05T16:20:32","slug":"consecutive-angles-definition-types-theorem-examples-faqs","status":"publish","type":"post","link":"https:\/\/www.splashlearn.com\/math-vocabulary\/consecutive-angles","title":{"rendered":"Consecutive Angles \u2013 Definition, Types, Theorem, 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-1b7fc712-3cfc-407f-9390-0736f5c40259\" 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\/consecutive-angles#0-what-are-consecutive-angles>What Are Consecutive Angles?<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/consecutive-angles#4-converse-of-consecutive-angles-theorem>Converse of Consecutive Angles Theorem<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/consecutive-angles#5-consecutive-angles-in-a-parallelogram>Consecutive Angles in a Parallelogram<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/consecutive-angles#8-solved-examples-on-consecutive-angles>Solved Examples on Consecutive Angles<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/consecutive-angles#9-practice-problems-on-consecutive-angles>Practice Problems on Consecutive Angles<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/consecutive-angles#10-frequently-asked-questions-about-consecutive-angles>Frequently Asked Questions about Consecutive Angles<\/a><\/li><\/ul><\/div><\/div><\/div>\n\n\n<h2 class=\"wp-block-heading\" id=\"0-what-are-consecutive-angles\">What Are Consecutive Angles?<\/h2>\n\n\n\n<p><strong>Consecutive angles are formed on the same side of the transversal when two parallel lines are crossed by a transversal. Depending on their relative positions, either between or outside the parallel lines, they are categorized as consecutive interior angles and consecutive exterior angles, respectively.<\/strong>&nbsp;<\/p>\n\n\n\n<p>In <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/geometry\">geometry<\/a>, <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/parallel-lines\">parallel lines<\/a> can be defined as two lines in the same plane that are at equal distances from each other and never meet. They may be <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/horizontal\">horizontal lines<\/a> or vertical lines. Transversal is a line that intersects two parallel lines in two distinct points.<em>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<\/em><\/p>\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-consecutive-angles-definition\">Consecutive Angles: Definition<\/h2>\n\n\n\n<p>When two parallel lines are intersected by a transversal, then the pairs of angles formed on the same side of the transversal (either in the interior or the exterior region of two parallel lines) are called \u201cconsecutive angles.\u201d<\/p>\n\n\n\n<p>In the given figure, the pairs of consecutive angles are<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u2220c and \u2220e<\/li>\n\n\n\n<li>\u2220d and \u2220f<\/li>\n\n\n\n<li>\u2220b and \u2220h<\/li>\n\n\n\n<li>\u2220a and \u2220g<\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"497\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/consecutive-angles.png\" alt=\"Consecutive angles\" class=\"wp-image-35618\" title=\"Consecutive angles\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/consecutive-angles.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/consecutive-angles-300x240.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\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-types-of-consecutive-angles\">Types of Consecutive Angles<\/h2>\n\n\n\n<p>Based on the intersecting position of parallel lines and the transversal, there are two types of consecutive angles.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Consecutive interior angles<\/li>\n\n\n\n<li>Consecutive exterior angles<\/li>\n<\/ul>\n\n\n\n<p><strong>Consecutive Interior Angles<\/strong><\/p>\n\n\n\n<p>The angles which lie on the interior part of the two parallel lines (between two parallel lines), on the same side of the transversal are known as consecutive interior angles. The consecutive interior angles are also referred to as \u201cco-interior angles\u201d or \u201c<a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/same-side-interior-angles#:~:text=Same%20Side%20Interior%20Angle%20Theorem%20Statement%3A%20If%20a%20transversal%20intersects,add%20up%20to%20180%C2%B0.)\">same-side interior angles<\/a>.\u201d<\/p>\n\n\n\n<p>In the given figure, the pair of consecutive interior angles are highlighted in the same colors.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u22203 and \u22205<\/li>\n\n\n\n<li>\u22204 and \u22206<\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"463\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/consecutive-interior-angles.png\" alt=\"Consecutive interior angles\" class=\"wp-image-35619\" title=\"Consecutive interior angles\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/consecutive-interior-angles.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/consecutive-interior-angles-300x224.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p><strong>Consecutive Exterior Angles<\/strong><\/p>\n\n\n\n<p>The angles which lie on the exterior part of the two parallel lines (outside the two parallel lines) and on the same side of the transversal are known as consecutive exterior angles.&nbsp;<\/p>\n\n\n\n<p>The consecutive exterior angles are also referred to as co-exterior angles or same-side exterior angles. Consecutive exterior angles are supplementary.<\/p>\n\n\n\n<p>In the given figure, the pairs of consecutive exterior angles are highlighted in the same colors.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u22201 and \u22207<\/li>\n\n\n\n<li>\u22202 and \u22208<\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"619\" height=\"449\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/consecutive-exterior-angles.png\" alt=\"Consecutive exterior angles\" class=\"wp-image-35621\" title=\"Consecutive exterior angles\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/consecutive-exterior-angles.png 619w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/consecutive-exterior-angles-300x218.png 300w\" sizes=\"auto, (max-width: 619px) 100vw, 619px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"3-consecutive-angles-theorem\">Consecutive Angles Theorem<\/h2>\n\n\n\n<p>Consecutive angles theorem states that if two parallel lines are cut by a transversal, then the pairs of consecutive interior angles formed are supplementary.&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"447\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/a-pair-of-parallel-lines-cut-by-a-transversal.png\" alt=\"A pair of parallel lines cut by a transversal\" class=\"wp-image-35622\" title=\"A pair of parallel lines cut by a transversal\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/a-pair-of-parallel-lines-cut-by-a-transversal.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/a-pair-of-parallel-lines-cut-by-a-transversal-300x216.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p>From the above figure, we can write<\/p>\n\n\n\n<p>\u22203 + \u22205 = 180<sup>o<\/sup>&nbsp;<\/p>\n\n\n\n<p>\u22204 + \u22206 = 180<sup>o<\/sup><\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"4-converse-of-consecutive-angles-theorem\">Converse of Consecutive Angles Theorem<\/h2>\n\n\n<div class=\"ub-styled-box ub-notification-box\" id=\"ub-styled-box-92b19e7e-4c5b-48dd-80bd-8e98f79abd25\">\n\n\n<p>If two lines are cut by a transversal such that the consecutive interior angles are supplementary (add up to 180 degrees), then the lines are parallel.<\/p>\n\n\n<\/div>\n\n\n<h2 class=\"wp-block-heading\" id=\"5-consecutive-angles-in-a-parallelogram\">Consecutive Angles in a Parallelogram<\/h2>\n\n\n\n<p>In a <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/parallelogram\">parallelogram<\/a>, each pair of adjacent angles represent consecutive angles.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"402\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/consecutive-angles-in-a-parallelogram-.png\" alt=\"Consecutive angles in a parallelogram\" class=\"wp-image-35623\" title=\"Consecutive angles in a parallelogram\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/consecutive-angles-in-a-parallelogram-.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/consecutive-angles-in-a-parallelogram--300x195.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p>Here, the pair of adjacent angles are as follows<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u2220A and \u2220B<\/li>\n\n\n\n<li>\u2220C and \u2220D<\/li>\n\n\n\n<li>\u2220A and \u2220D<\/li>\n\n\n\n<li>\u2220B and \u2220C<\/li>\n<\/ul>\n\n\n\n<p>In a parallelogram, opposite sides are parallel.&nbsp;<\/p>\n\n\n\n<p>Two parallel lines AB and CD are cut by two transversals AD and BC.&nbsp;<\/p>\n\n\n\n<p>Also, two parallel lines AD and BC are cut by transversals AB and CD.<\/p>\n\n\n\n<p>If two parallel lines are cut by a transversal, then the pairs of consecutive interior angles formed are supplementary. Thus, the sum of adjacent angles of a parallelogram is equal to 180.<br><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>&nbsp;\u2220A + \u2220B = 180<sup>o<\/sup><\/li>\n\n\n\n<li>\u2220C + \u2220D = 180<sup>o<\/sup><\/li>\n\n\n\n<li>\u2220A + \u2220D = 180<sup>o<\/sup><\/li>\n\n\n\n<li>\u2220B + \u2220C = 180<sup>o<\/sup><\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"6-facts-about-consecutive-angles\">Facts about Consecutive 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-8cf370e7 wp-block-roelmagdaleno-callout-block-is-layout-flex\"><div>\n<ul class=\"wp-block-list\">\n<li>If the two lines cut by a transversal are not parallel, there is no special relation between the consecutive angles.<\/li>\n\n\n\n<li>Consecutive exterior angles formed by two parallel lines cut by a transversal are also supplementary.<\/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>In this article, we learned about the consecutive angles, their types, theorems, and facts. We also learned about consecutive angles in a <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/parallelogram\">parallelogram<\/a>. Let\u2019s solve a few examples and MCQs for better comprehension.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"8-solved-examples-on-consecutive-angles\">Solved Examples on Consecutive Angles<\/h2>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Identify the pairs of consecutive interior and exterior angles in the given figure.<\/strong><\/li>\n<\/ol>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"384\" height=\"342\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/consecutive-angles-example.png\" alt=\"Consecutive angles example\" class=\"wp-image-35624\" title=\"Consecutive angles example\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/consecutive-angles-example.png 384w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/consecutive-angles-example-300x267.png 300w\" sizes=\"auto, (max-width: 384px) 100vw, 384px\" \/><\/figure>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<p>Pairs of consecutive interior angles: \u22203 and \u22205; \u22204 and \u22206.<\/p>\n\n\n\n<p>Pairs of consecutive exterior angles: \u22201 and \u22207; \u22202 and \u22208.<\/p>\n\n\n\n<ol class=\"wp-block-list\" start=\"2\">\n<li><strong>A pair of consecutive interior angles formed by lines p and q are <\/strong>106 <strong>and<\/strong>&nbsp; 73. <strong>Check whether two lines &#8216;p&#8217; and &#8216;q&#8217; are parallel or not.<\/strong><\/li>\n<\/ol>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<p>For the lines p and q to be parallel, the given consecutive interior angles must satisfy the converse of the consecutive angles theorem.<\/p>\n\n\n\n<p>In simple words, if the sum of the measures of given angles is 180<sup>o<\/sup>, the lines are parallel.<\/p>\n\n\n\n<p>Here, 106<sup>o<\/sup> + 73<sup>o<\/sup> = 179<sup>o<\/sup> \u2260 180<sup>o<\/sup>.<\/p>\n\n\n\n<p>Hence, the lines p and q are not parallel.<\/p>\n\n\n\n<ol class=\"wp-block-list\" start=\"3\">\n<li><strong>In the given figure, the lines l and m are two parallel lines. Find the value of \u2018x\u2019.<\/strong><\/li>\n<\/ol>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"335\" height=\"278\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/consecutive-exterior-angles-theorem-example.png\" alt=\"Consecutive exterior angles theorem example\" class=\"wp-image-35625\" title=\"Consecutive exterior angles theorem example\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/consecutive-exterior-angles-theorem-example.png 335w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/consecutive-exterior-angles-theorem-example-300x249.png 300w\" sizes=\"auto, (max-width: 335px) 100vw, 335px\" \/><\/figure>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<p>In the figure, angles x and 57<sup>o<\/sup> form pairs of consecutive exterior angles. Thus, their sum must be equal to 180.<\/p>\n\n\n\n<p>x + 57<sup>o<\/sup> = 180<sup>o<\/sup><\/p>\n\n\n\n<p>x = 180<sup>o<\/sup> \u2212 57<sup>o<\/sup><\/p>\n\n\n\n<p>Therefore, x = 123<sup>o<\/sup><\/p>\n\n\n\n<ol class=\"wp-block-list\" start=\"4\">\n<li><strong>In the given figure, the lines l and m are two parallel lines, find the value of \u2018y\u2019.<\/strong><\/li>\n<\/ol>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"335\" height=\"282\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/consecutive-angles-theorem-example.png\" alt=\"Consecutive angles theorem example\" class=\"wp-image-35626\" title=\"Consecutive angles theorem example\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/consecutive-angles-theorem-example.png 335w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/consecutive-angles-theorem-example-300x253.png 300w\" sizes=\"auto, (max-width: 335px) 100vw, 335px\" \/><\/figure>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<p>In the figure, angles y and 123<sup>o<\/sup> form a pair of consecutive interior angles. Thus, they add up to 180<sup>o<\/sup>.<\/p>\n\n\n\n<p>y + 123<sup>o<\/sup> = 180<sup>o<\/sup><\/p>\n\n\n\n<p>y = 180<sup>o<\/sup> \u2212 123<sup>o<\/sup><\/p>\n\n\n\n<p>Therefore, x = 57<sup>o<\/sup>.<\/p>\n\n\n\n<p><strong>4. If the two consecutive interior angles of a parallelogram are given by (x + 60)<sup>o<\/sup> and&nbsp; (2x + 30)<sup>o<\/sup>, then which type of parallelogram is it?<\/strong><\/p>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<p>We know that the sum of interior angles of a parallelogram = 180<\/p>\n\n\n\n<p>So, <strong>(x + 60)<sup>o<\/sup><\/strong> + <strong>(2x + 30)<\/strong><sup>o<\/sup> = 180<sup>o<\/sup><\/p>\n\n\n\n<p>3x + 90 = 180<\/p>\n\n\n\n<p>3x = 180 \u2212 90<\/p>\n\n\n\n<p>3x = 90<\/p>\n\n\n\n<p>Therefore, $x = \\frac{90}{3} = 30$<\/p>\n\n\n\n<p>Thus, <strong>(x + 60)<\/strong><sup>o<\/sup> = <strong>(30 + 60)<sup>o<\/sup><\/strong> = 90<sup>o<\/sup><\/p>\n\n\n\n<p>(2x + 30)<sup>o<\/sup> = [2(30) + 30]<sup>o<\/sup> = 90<sup>o<\/sup><\/p>\n\n\n\n<p>Opposite angles of a parallelogram are equal. Thus, all interior angles are right angles.<\/p>\n\n\n\n<p>Thus, it is a rectangle.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"9-practice-problems-on-consecutive-angles\">Practice Problems on Consecutive Angles<\/h2>\n\n\n\n<div class=\"spq_wrapper\"><h2 style=\"display:none;\">Consecutive Angles \u2013 Definition, Types, Theorem, Examples, FAQs<\/h2><p style=\"display:none;\">Attend this quiz & Test your knowledge.<\/p><div class=\"spq_question_wrapper\" data-answer=\"0\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">1<\/span><h3 class=\"sqp_question_text\">The sum of consecutive angles of a parallelogram is always equal to ___ degrees.<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">180<\/div><div class=\"spq_answer_block\" data-value=\"1\">90<\/div><div class=\"spq_answer_block\" data-value=\"2\">360<\/div><div class=\"spq_answer_block\" data-value=\"3\">60<\/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<br\/>The sum of consecutive angles of a parallelogram is always 180 degrees.<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"0\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">2<\/span><h3 class=\"sqp_question_text\">There are _____ types of consecutive angles formed when two parallel lines are intersected by a transversal.<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">Two<\/div><div class=\"spq_answer_block\" data-value=\"1\">Three<\/div><div class=\"spq_answer_block\" data-value=\"2\">Four<\/div><div class=\"spq_answer_block\" data-value=\"3\">Five<\/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: Two<br\/>There are two types of consecutive angles formed (interior and exterior) when two parallel lines are intersected by a transversal.<\/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\">In the figure given below, the line ____ is the transversal.<\/h3><\/span><div class=\"spq_question_image\"><img decoding=\"async\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/Identifying-a-transversal-example.png\"><\/div><div class=\"spq_answer_block\" data-value=\"0\">RS<\/div><div class=\"spq_answer_block\" data-value=\"1\">PQ<\/div><div class=\"spq_answer_block\" data-value=\"2\">AB<\/div><div class=\"spq_answer_block\" data-value=\"3\">RQ<\/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: AB<br\/>Transversal lines are those that cross two or more lines at different points. Hence, in the given figure AB is a transversal line.<\/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\">Identify the type of angles shown in the figure.<\/h3><\/span><div class=\"spq_question_image\"><img decoding=\"async\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/consecutive-exterior-angles-example.png\"><\/div><div class=\"spq_answer_block\" data-value=\"0\">Alternate angle<\/div><div class=\"spq_answer_block\" data-value=\"1\">Consecutive interior angles<\/div><div class=\"spq_answer_block\" data-value=\"2\">Consecutive exterior angles<\/div><div class=\"spq_answer_block\" data-value=\"3\">None of these<\/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: Consecutive exterior angles<br\/>From the figure, it is clear that the angles shown are pairs of consecutive exterior angles.<\/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\">What is the sum of adjacent angles in a parallelogram?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">Acute<\/div><div class=\"spq_answer_block\" data-value=\"1\">complementary<\/div><div class=\"spq_answer_block\" data-value=\"2\">Supplementary<\/div><div class=\"spq_answer_block\" data-value=\"3\">None of these<\/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: Supplementary<br\/>The sum of adjacent angles in a parallelogram is supplementary. 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                        \"text\": \"Three\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"There are two types of consecutive angles formed (interior and exterior) when two parallel lines are intersected by a transversal.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"Four\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"There are two types of consecutive angles formed (interior and exterior) when two parallel lines are intersected by a transversal.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"Five\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"There are two types of consecutive angles formed (interior and exterior) when two parallel lines are intersected by a transversal.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 0,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"Two\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"There are two types of consecutive angles formed (interior and exterior) when two parallel lines are intersected by a transversal.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"There are two types of consecutive angles formed (interior and exterior) when two parallel lines are intersected by a transversal.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"In the figure given below, the line ____ is the transversal.\",\n                    \"text\": \"In the figure given below, the line ____ is the transversal. <img src=\\\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/Identifying-a-transversal-example.png\\\"\/>\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Transversal lines are those that cross two or more lines at different points. Hence, in the given figure AB is a transversal line.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"RS\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Transversal lines are those that cross two or more lines at different points. Hence, in the given figure AB is a transversal line.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"PQ\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Transversal lines are those that cross two or more lines at different points. Hence, in the given figure AB is a transversal line.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"RQ\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Transversal lines are those that cross two or more lines at different points. Hence, in the given figure AB is a transversal line.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 2,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"AB\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Transversal lines are those that cross two or more lines at different points. Hence, in the given figure AB is a transversal line.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Transversal lines are those that cross two or more lines at different points. Hence, in the given figure AB is a transversal line.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Identify the type of angles shown in the figure.\",\n                    \"text\": \"Identify the type of angles shown in the figure. <img src=\\\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/consecutive-exterior-angles-example.png\\\"\/>\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"From the figure, it is clear that the angles shown are pairs of consecutive exterior angles.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"Alternate angle\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"From the figure, it is clear that the angles shown are pairs of consecutive exterior angles.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"Consecutive interior angles\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"From the figure, it is clear that the angles shown are pairs of consecutive exterior angles.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"None of these\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"From the figure, it is clear that the angles shown are pairs of consecutive exterior angles.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 2,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"Consecutive exterior angles\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"From the figure, it is clear that the angles shown are pairs of consecutive exterior angles.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"From the figure, it is clear that the angles shown are pairs of consecutive exterior angles.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"What is the sum of adjacent angles in a parallelogram?\",\n                    \"text\": \"What is the sum of adjacent angles in a parallelogram?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"The sum of adjacent angles in a parallelogram is supplementary. It is because they represent a pair of consecutive interior angles.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"Acute\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The sum of adjacent angles in a parallelogram is supplementary. It is because they represent a pair of consecutive interior angles.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"complementary\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The sum of adjacent angles in a parallelogram is supplementary. It is because they represent a pair of consecutive interior angles.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"None of these\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The sum of adjacent angles in a parallelogram is supplementary. It is because they represent a pair of consecutive interior angles.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 2,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"Supplementary\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"The sum of adjacent angles in a parallelogram is supplementary. It is because they represent a pair of consecutive interior angles.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"The sum of adjacent angles in a parallelogram is supplementary. It is because they represent a pair of consecutive interior angles.\"\n                      }\n                    } \n\n                    }]}<\/script>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"10-frequently-asked-questions-about-consecutive-angles\">Frequently Asked Questions about Consecutive Angles<\/h2>\n\n\n<div class=\"wp-block-ub-content-toggle\" id=\"ub-content-toggle-f2f87e0a-dfe6-40ad-8a66-fa9f3c0d2f9d\" 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-f2f87e0a-dfe6-40ad-8a66-fa9f3c0d2f9d\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-f2f87e0a-dfe6-40ad-8a66-fa9f3c0d2f9d\"><strong>Are consecutive angles congruent?<\/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-f2f87e0a-dfe6-40ad-8a66-fa9f3c0d2f9d\">\n\n<p>No, consecutive angles are not congruent. They are supplementary if the two lines crossed by the transversal line are parallel<\/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-f2f87e0a-dfe6-40ad-8a66-fa9f3c0d2f9d\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-f2f87e0a-dfe6-40ad-8a66-fa9f3c0d2f9d\"><strong>Are consecutive angles always 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-1-f2f87e0a-dfe6-40ad-8a66-fa9f3c0d2f9d\">\n\n<p>Consecutive angles are supplementary if the two lines crossed by the transversal line are parallel.<\/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-f2f87e0a-dfe6-40ad-8a66-fa9f3c0d2f9d\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-f2f87e0a-dfe6-40ad-8a66-fa9f3c0d2f9d\"><strong>What is the sum of consecutive interior 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-2-f2f87e0a-dfe6-40ad-8a66-fa9f3c0d2f9d\">\n\n<p>The sum of exterior consecutive angles is equal to 180<sup>o<\/sup> if the two lines cut by the transversal are parallel to each other.<\/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-f2f87e0a-dfe6-40ad-8a66-fa9f3c0d2f9d\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-f2f87e0a-dfe6-40ad-8a66-fa9f3c0d2f9d\"><strong>What are consecutive angles in a parallelogram?<\/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-f2f87e0a-dfe6-40ad-8a66-fa9f3c0d2f9d\">\n\n<p>In a parallelogram, each pair of adjacent angles represents consecutive angles.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"471\" height=\"220\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/consecutive-angles-in-a-parallelogram.png\" alt=\"Consecutive angles in a parallelogram\" class=\"wp-image-35614\" title=\"Consecutive angles in a parallelogram\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/consecutive-angles-in-a-parallelogram.png 471w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/consecutive-angles-in-a-parallelogram-300x140.png 300w\" sizes=\"auto, (max-width: 471px) 100vw, 471px\" \/><\/figure>\n\n\n\n<p>In the,e above figure, the pairs of consecutive angles are&nbsp;<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u2220A and \u2220B<\/li>\n\n\n\n<li>\u2220C and \u2220D<\/li>\n\n\n\n<li>\u2220A and \u2220D<\/li>\n\n\n\n<li>\u2220B and \u2220C.&nbsp;<\/li>\n<\/ul>\n\n\n\n<p>Their sum is always 180<sup>o<\/sup>.<\/p>\n\n<\/div><\/div>\n<\/div>","protected":false},"excerpt":{"rendered":"<p>What Are Consecutive Angles? Consecutive angles are formed on the same side of the transversal when two parallel lines are crossed by a transversal. Depending on their relative positions, either between or outside the parallel lines, they are categorized as consecutive interior angles and consecutive exterior angles, respectively.&nbsp; In geometry, parallel lines can be defined &#8230; <a title=\"Consecutive Angles \u2013 Definition, Types, Theorem, Examples, FAQs\" class=\"read-more\" href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/consecutive-angles\" aria-label=\"More on Consecutive Angles \u2013 Definition, Types, Theorem, 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-35610","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\/35610","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=35610"}],"version-history":[{"count":8,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/35610\/revisions"}],"predecessor-version":[{"id":39979,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/35610\/revisions\/39979"}],"wp:attachment":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/media?parent=35610"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/categories?post=35610"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/tags?post=35610"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}