{"id":26514,"date":"2023-03-18T12:39:04","date_gmt":"2023-03-18T12:39:04","guid":{"rendered":"https:\/\/www.splashlearn.com\/math-vocabulary\/?page_id=26514"},"modified":"2024-02-05T15:35:13","modified_gmt":"2024-02-05T15:35:13","slug":"angles-of-parallelogram-definition-properties-theorems-examples","status":"publish","type":"post","link":"https:\/\/www.splashlearn.com\/math-vocabulary\/angles-of-a-parallelogram","title":{"rendered":"Angles of Parallelogram \u2013 Definition, Properties, Theorems, Examples"},"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-cf4c17e3-ed20-4aa0-8ddf-c5bdcbb2e855\" 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\/angles-of-a-parallelogram#0-what-is-angles-of-a-parallelogram>What is Angles of a Parallelogram<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/angles-of-a-parallelogram#2-properties-of-angles-of-a-parallelogram>Properties of Angles of a Parallelogram<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/angles-of-a-parallelogram#3-theorems-related-to-angles-of-a-parallelogram>Theorems Related to Angles of a Parallelogram<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/angles-of-a-parallelogram#8-solved-examples-on-angles-of-a-parallelogram>Solved Examples on Angles of a Parallelogram<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/angles-of-a-parallelogram#9-practice-problems-on-angles-of-a-parallelogram>Practice Problems on Angles of a Parallelogram<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/angles-of-a-parallelogram#10-frequently-asked-questions-on-angles-of-a-parallelogram>Frequently Asked Questions on Angles of a Parallelogram<\/a><\/li><\/ul><\/div><\/div><\/div>\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"0-what-is-angles-of-a-parallelogram\">What is Angles of a Parallelogram<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">A parallelogram has four interior angles that add up to $360^{\\circ}$.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>A parallelogram is a special type of quadrilateral that has both pairs of opposite sides parallel and equal. <\/strong>The given figure shows a parallelogram ABCD, which has AB II CD and AD II BC. Also, AD $=$ BC and AB $=$ CD.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"317\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/08\/a-parallelogram.png\" alt=\"A parallelogram\" class=\"wp-image-33153\" title=\"A parallelogram\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/08\/a-parallelogram.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/08\/a-parallelogram-300x153.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\">Note that squares and rectangles are special types of parallelograms. In a rectangle, all angles are right angles. A square is both equilateral and equiangular.<\/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 eplus-wrapper\" id=\"1-angles-of-a-parallelogram\">Angles of a Parallelogram<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">The sum of angles of a parallelogram is $360^{\\circ}$. Opposite angles of a parallelogram are of equal measure. Consecutive angles of a parallelogram add up to $180^{\\circ}$.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$\\angle A = \\angle C$ and $\\angle B = \\angle D$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$\\angle A + \\angle B + \\angle C + \\angle D = 360^{\\circ}$<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"314\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/08\/a-pair-of-equal-and-opposite-angles-in-a-parallelogram.png\" alt=\"A pair of equal and opposite angles in a parallelogram\" class=\"wp-image-33154\" title=\"A pair of equal and opposite angles in a parallelogram\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/08\/a-pair-of-equal-and-opposite-angles-in-a-parallelogram.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/08\/a-pair-of-equal-and-opposite-angles-in-a-parallelogram-300x152.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 eplus-wrapper\" id=\"2-properties-of-angles-of-a-parallelogram\">Properties of Angles of a Parallelogram<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">Here, we are going to study properties of angles of a parallelogram. Observe the following image to understand the important rules of parallelogram angles.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"293\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/08\/properties-of-angles-of-a-parallelogram.webp\" alt=\"Properties of angles of a parallelogram\" class=\"wp-image-33155\" title=\"Properties of angles of a parallelogram\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/08\/properties-of-angles-of-a-parallelogram.webp 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/08\/properties-of-angles-of-a-parallelogram-300x142.webp 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\">In a parallelogram, opposite angles are congruent (equal). In the above image,&nbsp;<\/li>\n<\/ul>\n\n\n\n<p class=\"eplus-wrapper\">$\\angle P = \\angle R;\\; \\angle Q = \\angle S$.<\/p>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\">All the angles in a parallelogram add up to $360^{\\circ}$. Here,$\\angle P + \\angle Q + \\angle R + \\angle S = 360^{\\circ}$.<\/li>\n<\/ul>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\">All the respective consecutive angles in a parallelogram are supplementary.&nbsp;<\/li>\n<\/ul>\n\n\n\n<p class=\"eplus-wrapper\">The supplementary angles in a parallelogram PQRS are as follows:<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$\\angle P + \\angle Q = 180^{\\circ}$;&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$\\angle Q + \\angle R = 180^{\\circ}$;&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$\\angle R + \\angle S = 180^{\\circ}$;&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$\\angle S + \\angle P = 180^{\\circ}$<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"3-theorems-related-to-angles-of-a-parallelogram\">Theorems Related to Angles of a Parallelogram<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">&nbsp;Let us learn about the theorems related to the angles of a parallelogram:<\/p>\n\n\n\n<p class=\"eplus-wrapper\">1. Opposite angles of a parallelogram are equal.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">2. Parallelogram consecutive angles theorem: Consecutive angles of a parallelogram are supplementary.<\/p>\n\n\n\n<h3 class=\"wp-block-heading eplus-wrapper\" id=\"4-theorem-1-opposite-angles-of-a-parallelogram-are-equal\">Theorem 1: Opposite angles of a parallelogram are equal.<\/h3>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Given: <\/strong>PQRS is a parallelogram.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>To prove:<\/strong> $\\angle P = \\angle R$ and $\\angle Q = \\angle S$<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"424\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/08\/opposite-angles-of-a-parallelogram-are-equal.png\" alt=\"Opposite angles of a parallelogram are equal.\" class=\"wp-image-33156\" title=\"Opposite angles of a parallelogram are equal.\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/08\/opposite-angles-of-a-parallelogram-are-equal.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/08\/opposite-angles-of-a-parallelogram-are-equal-300x205.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Proof: <\/strong>In the parallelogram PQRS, diagonal PR is dividing the parallelogram into two triangles.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Also, PQ || &nbsp;SR and QR || &nbsp;PS<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Thus, the diagonal PR acts as a transversal.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">On comparing triangles PQR and PSR, we have:<\/p>\n\n\n\n<p class=\"eplus-wrapper\">PR $=$ PR (common sides)<\/p>\n\n\n\n<p class=\"eplus-wrapper\">We know that alternate interior angles are equal.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Thus,&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">&nbsp;$\\angle 1 = \\angle 4$ (alternate interior angles)<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$\\angle 2&nbsp; = \\angle 3$&nbsp; (alternate interior angles)<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Thus, the two triangles are congruent, $\\Delta\\; PQR \\cong \\Delta\\; PSR$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Therefore, $\\angle Q = \\angle S$ by CPCTC (corresponding parts of congruent triangles are congruent).<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Similarly, we can show that $\\angle P = \\angle R$.<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Opposite angles of a parallelogram are equal.<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Hence proved.&nbsp;&nbsp;<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\">Let\u2019s prove the converse theorem as well.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">The converse of the above theorem is as follows:<\/p>\n\n\n\n<p class=\"eplus-wrapper\">If the opposite angles of a quadrilateral are equal, then it is a parallelogram.<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Given:<\/strong> $\\angle P = \\angle R$ and $\\angle Q = \\angle S$<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>To Prove:<\/strong> PQRS is a parallelogram.<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Proof:<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\">We know that the interior angles in a quadrilateral add up to $360^{\\circ}$.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Therefore,<\/p>\n\n\n\n<p class=\"eplus-wrapper\">&nbsp;&nbsp;$\\angle P + \\angle Q + \\angle R + \\angle S = 360^{\\circ}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Now, we can substitute $\\angle R$ with $\\angle P$ and $\\angle S$ with $\\angle Q$ as it is given that<\/p>\n\n\n\n<p class=\"eplus-wrapper\">&nbsp;$\\angle P = \\angle R$ and $\\angle Q = \\angle S$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">&nbsp;$= 2(\\angle P + \\angle Q) = 360^{\\circ}$&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">&nbsp;$= \\angle P + \\angle Q&nbsp; = 180^{\\circ}$.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">&nbsp;This shows that the consecutive angles are supplementary.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">&nbsp;It means that PS || QR.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">&nbsp;Similarly, we can show that PQ || RS.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">&nbsp;Hence, PS || QR, and PQ || RS.<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>PQRS is a parallelogram.<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Hence proved.&nbsp;<\/strong><\/p>\n\n\n\n<h3 class=\"wp-block-heading eplus-wrapper\" id=\"5-theorem-2-consecutive-angles-of-a-parallelogram-are-supplementary\">Theorem 2: Consecutive angles of a parallelogram are supplementary.<\/h3>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Given:<\/strong> PQRS is a parallelogram, with four angles $\\angle P \\angle Q, \\angle R, \\angle S$ respectively.<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>To prove: <\/strong>$\\angle P + \\angle Q = 180^{\\circ}, \\angle R + \\angle S = 180^{\\circ}$.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"424\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/08\/consecutive-angles-of-a-parallelogram-are-supplementary.png\" alt=\"Consecutive angles of a parallelogram are supplementary.\" class=\"wp-image-33157\" title=\"Consecutive angles of a parallelogram are supplementary.\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/08\/consecutive-angles-of-a-parallelogram-are-supplementary.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/08\/consecutive-angles-of-a-parallelogram-are-supplementary-300x205.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Proof: <\/strong>&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">We know that PQ || RS<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Consider PS to be a transversal cutting the parallel lines PQ and RS.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">According to the property of transversal, we know that the interior angles on the same side of a transversal are supplementary.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Therefore, $\\angle P + \\angle S = 180^{\\circ}$.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Similarly,<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$\\angle Q + \\angle R = 180^{\\circ}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$\\angle R + \\angle S = 180^{\\circ}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$\\angle P + \\angle Q = 180^{\\circ}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Therefore, the sum of the respective two adjacent angles of a parallelogram is equal to $180^{\\circ}$.<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Thus, the consecutive angles of a parallelogram are supplementary.<\/strong><\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"6-fun-facts\">&nbsp;&nbsp;Fun Facts!<\/h2>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\">A parallelogram is a special type of quadrilateral that has both pairs of opposite sides parallel and equal.<\/li>\n<\/ul>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\">As opposite sides of a parallelogram are parallel, they will never intersect.<\/li>\n<\/ul>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\">Opposite angles of a parallelogram are equal.<\/li>\n<\/ul>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\">Interior angles of a parallelogram add up to&nbsp; $360^{\\circ}$.<\/li>\n<\/ul>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\">Consecutive interior angles in a parallelogram (angles that are side by side) are supplementary, i.e., the total of it always equals to $180^{\\circ}$<\/li>\n<\/ul>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\">The diagonal of a parallelogram separates it into two congruent triangles.<\/li>\n<\/ul>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\">Rectangles and squares are examples of parallelograms that have 90 degree angles, also known as right angles. Rhombuses and squares are examples of parallelograms that have sides of equal length.<\/li>\n<\/ul>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\">If one angle in a parallelogram is a right angle, then all angles are right angles.<\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"7-conclusion\">Conclusion<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">A parallelogram is a special type of quadrilateral that has both pairs of opposite sides parallel and equal and opposite angles are congruent. Now that we have studied the theorems related to angles of parallelogram, let\u2019s solve some examples for better understanding.<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"8-solved-examples-on-angles-of-a-parallelogram\">Solved Examples on Angles of a Parallelogram<\/h2>\n\n\n\n<p class=\"eplus-wrapper\"><strong>1. In a parallelogram ABCD, if <\/strong>$\\angle A = 60^{\\circ}$<strong>, find the measure of <\/strong>$\\angle D$<strong> ?\u200b<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"292\" height=\"164\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/08\/measure-of-an-angle-of-a-parallelogram.png\" alt=\"Measure of an angle of a parallelogram\" class=\"wp-image-33158\" title=\"Measure of an angle of a parallelogram\"\/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Solution:&nbsp;<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\">We know that,<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Sum of consecutive (adjacent) angles of parallelogram is $180^{\\circ}$.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$\\angle A + \\angle D = 180^{\\circ}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$60 + \\angle D = 180^{\\circ}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$\\angle D = 180^{\\circ} \\;-\\; 60^{\\circ}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$\\angle D = 120^{\\circ}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>2. Two adjacent angles of a parallelogram are in the ratio 2:3. Find the measure of the angles.<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Solution:&nbsp;<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\">Let the angles be $2x$ and $3x$.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">We know that the adjacent angles in a parallelogram are supplementary.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Thus,<\/p>\n\n\n\n<p class=\"eplus-wrapper\">&nbsp;&nbsp;&nbsp;$2x + 3x = 180$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;$5x&nbsp; = 180$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;$x =x 36$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">&nbsp;&nbsp;Now, $2x = 2 \\times 36 = 72$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">&nbsp;&nbsp;&nbsp;and&nbsp; $3x = 3 \\times 36 = 108$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Thus, the measure of the angles is $72^{\\circ}$ and $108^{\\circ}$.<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>3. In the given figure, ABCD is a parallelogram in which <\/strong>$\\angle A = 70^{\\circ}$<strong>. Find the measure of each of the angles.<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"275\" height=\"152\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/08\/measure-of-an-angle-of-a-parallelogram-1.png\" alt=\"Measure of an angle of a parallelogram\" class=\"wp-image-33160\" title=\"Measure of an angle of a parallelogram\"\/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Solution:<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\">It is given that ABCD is a parallelogram in which $\\angle A = 70^{\\circ}$.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">In a parallelogram, opposite angles are congruent.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Thus, $\\angle C = 70^{\\circ}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Since the sum of any two adjacent angles of a parallelogram is 180\u00b0,<\/p>\n\n\n\n<p class=\"eplus-wrapper\">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;$\\angle A + \\angle B = 180^{\\circ}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;$70^{\\circ} + \\angle B = 180^{\\circ}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;$\\angle B = (180^{\\circ} \\;-\\;&nbsp; 70^{\\circ}) = 110^{\\circ}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Angles B and D are opposite angles in a parallelogram.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;$\\angle D = \\angle B = 110^{\\circ}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Therefore, $\\angle B = 110^{\\circ},\\; \\angle C = 70^{\\circ}$ and $\\angle D = 110^{\\circ}$.<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>4. Two consecutive angles of a parallelogram are <\/strong>$(x + 60)^{\\circ}$<strong> and&nbsp; <\/strong>$(2x + 30)^{\\circ}$<strong>. Find the measure of the two angles and write the type of parallelogram.<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Solution:<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\">We know that the consecutive interior angles of a parallelogram are supplementary.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$\\therefore (x + 60)^{\\circ} + (2x + 30)^{\\circ} = 180^{\\circ}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">&nbsp;$3x^{\\circ} + 90^{\\circ} = 180^{\\circ}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">&nbsp;$3x^{\\circ} = 180^{\\circ} \\;-\\;&nbsp; 90^{\\circ}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">&nbsp;$3x^{\\circ} = 90^{\\circ}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">&nbsp;&nbsp;$x^{\\circ}&nbsp; = 30^{\\circ}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Thus, two consecutive angles are $(30 + 60)^{\\circ} = 90^{\\circ}$ and $2(30)^{\\circ} + 30^{\\circ} = 90^{\\circ}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">We know that, if in a parallelogram one angle is 90 degrees, then all other angles are also 90 degrees.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Hence, the name of the given parallelogram is a rectangle with four right angles.<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>5. In the parallelogram ABCD given below, find <\/strong>$\\angle A, \\angle B, \\angle C$<strong>, and <\/strong>$\\angle D$<strong>.<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"272\" height=\"195\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/08\/measure-of-two-consecutive-angles-of-a-parallelogram.png\" alt=\"Measure of two consecutive angles of a parallelogram\" class=\"wp-image-33161\" title=\"Measure of two consecutive angles of a parallelogram\"\/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Solution:&nbsp;<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\">In a parallelogram, adjacent angles are supplementary.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">In the above parallelogram, $\\angle A$ and $\\angle B$ are adjacent angles.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$x + 2x = 180^{\\circ}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">&nbsp;&nbsp;&nbsp;$3x&nbsp; &nbsp; = 180^{\\circ}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;$x &nbsp; = 60^{\\circ}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">The measure of angle $\\angle A$ is<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$= x$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$= 60^{\\circ}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">The measure of angle $\\angle B$ is<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$= 2x$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$= 2 \\times 60^{\\circ}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$= 120^{\\circ}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">According to the properties of parallelogram, the opposite angles are congruent.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;$\\angle C =&nbsp; \\angle A$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Thus, $\\angle C = 60^{\\circ}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Also,&nbsp; $\\angle B = \\angle D$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Thus, $\\angle D = 120^{\\circ}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Hence, the measures of $\\angle A, \\angle B, \\angle C$ and $\\angle D$ are $60^{\\circ},\\; 120^{\\circ},\\; 60^{\\circ}$ and $120^{\\circ}$ respectively.<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"9-practice-problems-on-angles-of-a-parallelogram\">Practice Problems on Angles of a Parallelogram<\/h2>\n\n\n\n<p class=\"eplus-wrapper\"><div class=\"spq_wrapper\"><h2 style=\"display:none;\">Angles of Parallelogram \u2013 Definition, Properties, Theorems, Examples<\/h2><p style=\"display:none;\">Attend this quiz & Test your knowledge.<\/p><div class=\"spq_question_wrapper\" data-answer=\"1\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">1<\/span><h3 class=\"sqp_question_text\">In a parallelogram, the sum of the adjacent angles is ________.<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$90^{\\circ}$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$160^{\\circ}$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$180^{\\circ}$<\/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: $160^{\\circ}$<br\/>All the respective consecutive angles or the adjacent angles in a parallelogram are supplementary, which means they add up to $180^\\circ$.<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"3\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">2<\/span><h3 class=\"sqp_question_text\">In a parallelogram both pairs of opposite sides are  ________.<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">equal<\/div><div class=\"spq_answer_block\" data-value=\"1\">parallel<\/div><div class=\"spq_answer_block\" data-value=\"2\">congruent<\/div><div class=\"spq_answer_block\" data-value=\"3\">All of the above<\/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: All of the above<br\/>A parallelogram is a special type of quadrilateral that has both pairs of opposite sides parallel and equal (congruent).<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"1\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">3<\/span><h3 class=\"sqp_question_text\">Which of the following statements is NOT TRUE ?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">The adjacent angles in a parallelogram are supplementary.<\/div><div class=\"spq_answer_block\" data-value=\"1\">All the angles in a parallelogram add up to $180^\\circ$.<\/div><div class=\"spq_answer_block\" data-value=\"2\">Opposite angles of a parallelogram are equal.<\/div><div class=\"spq_answer_block\" data-value=\"3\">A parallelogram has both pairs of opposite sides parallel and equal.<\/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: All the angles in a parallelogram add up to $180^\\circ$.<br\/>All the angles in a parallelogram add up to $360^\\circ$.<\/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\">In a parallelogram if one interior angle measures $50^\\circ$, the opposite interior angle will measure  ____ degrees.<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$150^\\circ$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$40^\\circ$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$50^\\circ$<\/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: $50^\\circ$<br\/>In a parallelogram, opposite interior angles are congruent (equal). So if one interior angle measures $50^\\circ$, the opposite interior angle will also measure $50\\circ$.<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"3\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">5<\/span><h3 class=\"sqp_question_text\">What is the sum of angles of quadrilaterals?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">90<\/div><div class=\"spq_answer_block\" data-value=\"1\">180<\/div><div class=\"spq_answer_block\" data-value=\"2\">270<\/div><div class=\"spq_answer_block\" data-value=\"3\">360<\/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: 360<br\/>Angles in a quadrilateral add up to $360^\\circ$.<\/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\": \"Angles of Parallelogram \u2013 Definition, Properties, Theorems, Examples\",        \n        \"about\": {\n                \"@type\": \"Thing\",\n                \"name\": \"Angles of Parallelogram\"\n        },  \n        \"hasPart\": [{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"In a parallelogram, the sum of the adjacent angles is ________.\",\n                    \"text\": \"In a parallelogram, the sum of the adjacent angles is ________.\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"All the respective consecutive angles or the adjacent angles in a parallelogram are supplementary, which means they add up to $$180^\\\\circ$$.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$90^{\\\\circ}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"All the respective consecutive angles or the adjacent angles in a parallelogram are supplementary, which means they add up to $$180^\\\\circ$$.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$180^{\\\\circ}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"All the respective consecutive angles or the adjacent angles in a parallelogram are supplementary, which means they add up to $$180^\\\\circ$$.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"None of these\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"All the respective consecutive angles or the adjacent angles in a parallelogram are supplementary, which means they add up to $$180^\\\\circ$$.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 1,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"$$160^{\\\\circ}$$\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"All the respective consecutive angles or the adjacent angles in a parallelogram are supplementary, which means they add up to $$180^\\\\circ$$.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"All the respective consecutive angles or the adjacent angles in a parallelogram are supplementary, which means they add up to $$180^\\\\circ$$.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"In a parallelogram both pairs of opposite sides are  ________.\",\n                    \"text\": \"In a parallelogram both pairs of opposite sides are  ________.\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"A parallelogram is a special type of quadrilateral that has both pairs of opposite sides parallel and equal (congruent).\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"equal\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"A parallelogram is a special type of quadrilateral that has both pairs of opposite sides parallel and equal (congruent).\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"parallel\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"A parallelogram is a special type of quadrilateral that has both pairs of opposite sides parallel and equal (congruent).\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"congruent\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"A parallelogram is a special type of quadrilateral that has both pairs of opposite sides parallel and equal (congruent).\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 3,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"All of the above\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"A parallelogram is a special type of quadrilateral that has both pairs of opposite sides parallel and equal (congruent).\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"A parallelogram is a special type of quadrilateral that has both pairs of opposite sides parallel and equal (congruent).\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Which of the following statements is NOT TRUE ?\",\n                    \"text\": \"Which of the following statements is NOT TRUE ?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"All the angles in a parallelogram add up to $$360^\\\\circ$$.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"The adjacent angles in a parallelogram are supplementary.\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"All the angles in a parallelogram add up to $$360^\\\\circ$$.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"Opposite angles of a parallelogram are equal.\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"All the angles in a parallelogram add up to $$360^\\\\circ$$.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"A parallelogram has both pairs of opposite sides parallel and equal.\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"All the angles in a parallelogram add up to $$360^\\\\circ$$.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 1,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"All the angles in a parallelogram add up to $$180^\\\\circ$$.\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"All the angles in a parallelogram add up to $$360^\\\\circ$$.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"All the angles in a parallelogram add up to $$360^\\\\circ$$.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"In a parallelogram if one interior angle measures $$50^\\\\circ$$, the opposite interior angle will measure  ____ degrees.\",\n                    \"text\": \"In a parallelogram if one interior angle measures $$50^\\\\circ$$, the opposite interior angle will measure  ____ degrees.\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"In a parallelogram, opposite interior angles are congruent (equal). So if one interior angle measures $$50^\\\\circ$$, the opposite interior angle will also measure $$50\\\\circ$$.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$150^\\\\circ$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"In a parallelogram, opposite interior angles are congruent (equal). So if one interior angle measures $$50^\\\\circ$$, the opposite interior angle will also measure $$50\\\\circ$$.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$40^\\\\circ$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"In a parallelogram, opposite interior angles are congruent (equal). So if one interior angle measures $$50^\\\\circ$$, the opposite interior angle will also measure $$50\\\\circ$$.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"None of these\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"In a parallelogram, opposite interior angles are congruent (equal). So if one interior angle measures $$50^\\\\circ$$, the opposite interior angle will also measure $$50\\\\circ$$.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 2,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"$$50^\\\\circ$$\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"In a parallelogram, opposite interior angles are congruent (equal). So if one interior angle measures $$50^\\\\circ$$, the opposite interior angle will also measure $$50\\\\circ$$.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"In a parallelogram, opposite interior angles are congruent (equal). So if one interior angle measures $$50^\\\\circ$$, the opposite interior angle will also measure $$50\\\\circ$$.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"What is the sum of angles of quadrilaterals?\",\n                    \"text\": \"What is the sum of angles of quadrilaterals?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Angles in a quadrilateral add up to $$360^\\\\circ$$.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"90\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Angles in a quadrilateral add up to $$360^\\\\circ$$.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"180\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Angles in a quadrilateral add up to $$360^\\\\circ$$.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"270\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Angles in a quadrilateral add up to $$360^\\\\circ$$.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 3,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"360\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Angles in a quadrilateral add up to $$360^\\\\circ$$.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Angles in a quadrilateral add up to $$360^\\\\circ$$.\"\n                      }\n                    } \n\n                    }]}<\/script><\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"10-frequently-asked-questions-on-angles-of-a-parallelogram\">Frequently Asked Questions on Angles of a Parallelogram<\/h2>\n\n\n<div class=\"wp-block-ub-content-toggle\" id=\"ub-content-toggle-fe921397-3438-467d-95e2-df6a06723c63\" 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-fe921397-3438-467d-95e2-df6a06723c63\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-fe921397-3438-467d-95e2-df6a06723c63\"><strong>What are the interior angles of 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-0-fe921397-3438-467d-95e2-df6a06723c63\">\n\n<p class=\"eplus-wrapper\">Interior angles of a parallelogram are those that lie inside a parallelogram. They are formed by each pair of adjacent sides. The interior angles of a parallelogram sum up to $360^{\\circ}$ and any two adjacent (consecutive) angles of a parallelogram are supplementary.<\/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-fe921397-3438-467d-95e2-df6a06723c63\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-fe921397-3438-467d-95e2-df6a06723c63\"><strong>Are all parallelograms rectangles?<\/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-fe921397-3438-467d-95e2-df6a06723c63\">\n\n<p class=\"eplus-wrapper\">No, a parallelogram is not always a rectangle. In a rectangle, all angles must be equal to 90\u00b0. But for a parallelogram, interior angles need to be equal to 90\u00b0. However, all rectangles are parallelograms, because a rectangle has two sets of parallel sides and two pairs of opposite sides that are equal. Therefore, it abides by all the properties of a parallelogram.<\/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-fe921397-3438-467d-95e2-df6a06723c63\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-fe921397-3438-467d-95e2-df6a06723c63\"><strong>Is parallelogram a quadrilateral?<\/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-fe921397-3438-467d-95e2-df6a06723c63\">\n\n<p class=\"eplus-wrapper\">Yes, a parallelogram is a quadrilateral. A quadrilateral is a closed shape and a type of polygon that has four sides, four vertices, and four angles. A parallelogram is also a closed figure with four angles. Hence, it can be called a quadrilateral.<\/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-fe921397-3438-467d-95e2-df6a06723c63\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-fe921397-3438-467d-95e2-df6a06723c63\"><strong>Can a parallelogram have right 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-3-fe921397-3438-467d-95e2-df6a06723c63\">\n\n<p class=\"eplus-wrapper\">Yes, a parallelogram with four right angles is known as a rectangle. In a rectangle, each pair of co-interior angles are supplementary, because two right angles add to a straight angle, so the opposite sides of a rectangle are parallel. This means that a rectangle is a parallelogram.<\/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-4-fe921397-3438-467d-95e2-df6a06723c63\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-fe921397-3438-467d-95e2-df6a06723c63\"><strong>What is the difference between a parallelogram and rhombus?<\/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-4-fe921397-3438-467d-95e2-df6a06723c63\">\n\n<p class=\"eplus-wrapper\">The difference between a parallelogram and rhombus:<\/p>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\">A parallelogram is a quadrilateral that has opposite sides equal and parallel. A rhombus is a quadrilateral that has all its sides congruent.<\/li>\n\n\n\n<li class=\"eplus-wrapper\">Diagonals of a parallelogram simply bisect each other while the diagonals of a rhombus bisect each other at $90^{\\circ}$.<\/li>\n\n\n\n<li class=\"eplus-wrapper\">In a parallelogram, opposite angles are of equal measure while, in a rhombus, all four angles are of equal measure.<\/li>\n<\/ul>\n\n<\/div><\/div>\n<\/div>","protected":false},"excerpt":{"rendered":"<p>What is Angles of a Parallelogram A parallelogram has four interior angles that add up to $360^{\\circ}$.&nbsp; A parallelogram is a special type of quadrilateral that has both pairs of opposite sides parallel and equal. The given figure shows a parallelogram ABCD, which has AB II CD and AD II BC. Also, AD $=$ BC &#8230; <a title=\"Angles of Parallelogram \u2013 Definition, Properties, Theorems, Examples\" class=\"read-more\" href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/angles-of-a-parallelogram\" aria-label=\"More on Angles of Parallelogram \u2013 Definition, Properties, Theorems, Examples\">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-26514","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\/26514","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=26514"}],"version-history":[{"count":11,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/26514\/revisions"}],"predecessor-version":[{"id":39936,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/26514\/revisions\/39936"}],"wp:attachment":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/media?parent=26514"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/categories?post=26514"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/tags?post=26514"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}