{"id":34977,"date":"2023-10-09T19:09:00","date_gmt":"2023-10-09T19:09:00","guid":{"rendered":"https:\/\/www.splashlearn.com\/math-vocabulary\/?page_id=34977"},"modified":"2023-10-16T07:37:12","modified_gmt":"2023-10-16T07:37:12","slug":"same-side-interior-angles-definition-theorem-examples-facts","status":"publish","type":"post","link":"https:\/\/www.splashlearn.com\/math-vocabulary\/same-side-interior-angles","title":{"rendered":"Same Side Interior Angles &#8211; Definition, Theorem, Examples, Facts"},"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-b36aaa57-9da9-46c9-bee8-7edf22390e2f\" 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\/same-side-interior-angles#0-what-are-the-same-side-interior-angles-in-geometry>What Are the Same Side Interior Angles in Geometry?<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/same-side-interior-angles#2-how-to-spot-or-identify-same-side-interior-angles>How To Spot or Identify Same Side Interior Angles<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/same-side-interior-angles#3-properties-of-same-side-interior-angles>Properties of Same Side Interior Angles<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/same-side-interior-angles#10-solved-examples-on-same-side-interior-angles>Solved Examples on Same Side Interior Angles<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/same-side-interior-angles#11-practice-problems-on-same-side-interior-angles>Practice Problems on Same Side Interior Angles<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/same-side-interior-angles#12-frequently-asked-questions-about-same-side-interior-angles>Frequently Asked Questions about Same Side Interior Angles<\/a><\/li><\/ul><\/div><\/div><\/div>\n\n\n<h2 class=\"wp-block-heading\" id=\"0-what-are-the-same-side-interior-angles-in-geometry\">What Are the Same Side Interior Angles in Geometry?<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Same side interior angles are a pair of non-adjacent angles formed by two parallel lines (or non-parallel lines) cut by a transversal. They lie on the same side of the transversal and in the interior region between two lines.<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">The same side interior angles are also called co-interior angles or consecutive interior angles.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">The given diagram shows the same side interior angles formed when i) parallel lines are cut by a transversal ii) two non-parallel lines are cut by a transversal<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"495\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/10\/same-side-interior-angles.png\" alt=\"Same Side Interior Angles\" class=\"wp-image-34982\" title=\"Same Side Interior Angles\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/10\/same-side-interior-angles.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/10\/same-side-interior-angles-300x240.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<div id=\"recommended-games-container-id\" class=\"recommended-games-container\"><h4 class=\"recommended-games-container-headline\">Recommended Games<\/h4><div class=\"recommended-games-container-slides\"><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/10-and-100-more-than-the-same-number\" 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\/add_sub_pv_1_10_100_more_same_num_pt.png\" alt=\"10 and 100 More than the Same Number 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\">10 and 100 More than the Same Number 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\/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\/add-the-same-type-of-coins-and-compare\" 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\/money_is_amount_enough_1_pt.png\" alt=\"Add the Same Type of Coins and Compare 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 Same Type of Coins and Compare 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\/area-with-unit-squares-and-side-lengths\" 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_area_unit_sq_side_length_pt.png\" alt=\"Area with Unit Squares and Side Lengths 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\">Area with Unit Squares and Side Lengths 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\/compare-decimals-with-same-wholes\" 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\/decimals_compare_dec_3_pt.png\" alt=\"Compare Decimals (with Same Wholes) 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\">Compare Decimals (with Same Wholes) 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\/compare-decimals-on-place-value-chart-same-wholes\" 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\/decimals_compare_dec_pv_3_pt.png\" alt=\"Compare Decimals on Place Value Chart\u2014 Same Wholes 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\">Compare Decimals on Place Value Chart\u2014 Same Wholes 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\/compare-fraction-with-same-denominators\" 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\/fractions_compare_same_deno_nl_pt.png\" alt=\"Compare Fraction with Same Denominators 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\">Compare Fraction with Same Denominators 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-same-side-interior-angles-definition\">Same Side Interior Angles: Definition<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">Two non-adjacent interior angles that lie on the same side of the transversal are known as Same Side Interior Angles.&nbsp;<\/p>\n\n\n\n<div id=\"recommended-worksheets-container-id\" class=\"recommended-games-container\"><h4 class=\"recommended-games-container-headline\">Recommended Worksheets<\/h4><div class=\"recommended-games-container-slides\"><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/add-and-subtract-same-decimal-places-christmas-word-problems\" 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\/add-and-subtract-same-decimal-places-christmas-word-problems.jpeg\" alt=\"Add and Subtract Same Decimal Places: Christmas Word Problems\">\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\/add-and-subtract-same-decimal-places-cooking-word-problems\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" 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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\/add-and-subtract-same-decimal-places-summer-word-problems\" 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\/add-and-subtract-same-decimal-places-summer-word-problems.jpeg\" alt=\"Add and Subtract Same Decimal Places: Summer Word Problems\">\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\/add-and-subtract-same-decimal-places-travel-word-problems\" 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\/add-and-subtract-same-decimal-places-travel-word-problems.jpeg\" alt=\"Add and Subtract Same Decimal Places: Travel Word Problems\">\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\/add-and-subtract-same-decimal-places-winter-word-problems\" 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\/add-and-subtract-same-decimal-places-winter-word-problems.jpeg\" alt=\"Add and Subtract Same Decimal Places: Winter Word Problems\">\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\/add-up-bills-of-the-same-type\" 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\/add-up-bills-of-the-same-type.jpeg\" alt=\"Add Up Bills of the Same Type 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\/comparing-same-bills\" 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\/comparing-same-bills.jpeg\" alt=\"Comparing Same Bills\">\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\/comparing-same-coins\" 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\/comparing-same-coins.jpeg\" alt=\"Comparing Same Coins\">\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-how-to-spot-or-identify-same-side-interior-angles\">How To Spot or Identify Same Side Interior Angles<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">Same side interior angles form a C-shaped pattern due to their position.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"524\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/10\/c-shaped-pattern-formed-by-same-side-interior-angles.png\" alt=\"C-shaped pattern formed by Same Side Interior Angles\" class=\"wp-image-34983\" title=\"C-shaped pattern formed by Same Side Interior Angles\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/10\/c-shaped-pattern-formed-by-same-side-interior-angles.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/10\/c-shaped-pattern-formed-by-same-side-interior-angles-300x254.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"3-properties-of-same-side-interior-angles\">Properties of Same Side Interior Angles<\/h2>\n\n\n\n<ul class=\"wp-block-list\">\n<li>They have different vertices.<\/li>\n\n\n\n<li>They lie on the same side of the transversal.<\/li>\n\n\n\n<li>They lie in the interior region formed between the two lines.<\/li>\n\n\n\n<li>They share a common side.<\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"4-same-side-interior-angle-theorem-same-side-interior-angles-postulate\">Same Side Interior Angle Theorem (Same Side Interior Angles Postulate)<\/h2>\n\n\n<div class=\"ub-styled-box ub-notification-box\" id=\"ub-styled-box-a886c078-33c4-4d87-9d43-ac5ee512cd35\">\n\n\n<p class=\"wp-block-paragraph\"><strong>Same Side Interior Angle Theorem Statement:<\/strong> If a transversal intersects two parallel lines, then each pair of same side interior angles are supplementary (they add up to 180\u00b0.)<\/p>\n\n\n<\/div>\n\n\n<h2 class=\"wp-block-heading\" id=\"5-proof-of-same-side-interior-angles-theorem\">Proof of Same Side Interior Angles Theorem<\/h2>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"434\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/10\/two-parallel-lines-l-and-m-cut-by-a-transversal-n.png\" alt=\"Two parallel lines l and m cut by a transversal n\" class=\"wp-image-34984\" title=\"Two parallel lines l and m cut by a transversal n\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/10\/two-parallel-lines-l-and-m-cut-by-a-transversal-n.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/10\/two-parallel-lines-l-and-m-cut-by-a-transversal-n-300x210.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Given:<\/strong> l || m are parallel, and n is the transversal.&nbsp;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>To prove:<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u22204 + \u22205 = 180\u00b0<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u22203 + \u22206 = 180\u00b0<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Proof:&nbsp;<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u22201 = \u22205 (corresponding angles)&nbsp;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u22201 + \u22204 = 180\u00b0 (Linear pair of angles)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">On Substituting \u22201 = \u22205, we get<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">&nbsp;\u22204 + \u22205 = 180\u00b0<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Similarly, we can show that&nbsp;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u22203 +\u22206 = 180\u00b0<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Thus, the same side interior angles are supplementary.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"6-converse-of-the-same-side-interior-angles-theorem\">Converse of the Same Side Interior Angles Theorem<\/h2>\n\n\n<div class=\"ub-styled-box ub-notification-box\" id=\"ub-styled-box-248f7a6b-8de4-4cf5-afec-eef3b990ac88\">\n\n\n<p class=\"wp-block-paragraph\"><strong>Converse of Same Side Interior Angle Theorem:<\/strong> If a transversal intersects two lines in a way that a pair of the same side interior angles are supplementary, then the two lines are said to be parallel.<\/p>\n\n\n<\/div>\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"458\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/10\/two-lines-l-and-m-cut-by-a-transversal-n.png\" alt=\"Two lines l and m cut by a transversal n\" class=\"wp-image-34985\" title=\"Two lines l and m cut by a transversal n\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/10\/two-lines-l-and-m-cut-by-a-transversal-n.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/10\/two-lines-l-and-m-cut-by-a-transversal-n-300x222.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Given:&nbsp;<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u22203 +\u22206 = 180\u00b0<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">&nbsp;\u22204 + \u22205 = 180\u00b0<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>To prove:<\/strong> l || m<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u22205 + \u22204 = 180\u00b0 (given)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u22201 + \u22204 = 180\u00b0 (linear pair of angles)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">On comparing, we get<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u22201 + \u22204 = \u22205 + \u22204<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u22201 = \u22205&nbsp;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u22201 and \u22205 are a pair of corresponding angles.&nbsp;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">l is parallel to m. (Converse of corresponding angles postulate)<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"7-same-side-interior-angles-of-a-parallelogram\">Same Side Interior Angles of a Parallelogram<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">The opposite sides of a parallelogram are parallel. So, any two adjacent angles of a parallelogram are basically the same side interior angles formed by two parallel lines and a transversal.&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"619\" height=\"447\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/10\/same-side-interior-angles-formed-in-a-parallelogram.png\" alt=\"Same side interior angles formed in a parallelogram\" class=\"wp-image-34986\" title=\"Same side interior angles formed in a parallelogram\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/10\/same-side-interior-angles-formed-in-a-parallelogram.png 619w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/10\/same-side-interior-angles-formed-in-a-parallelogram-300x217.png 300w\" sizes=\"auto, (max-width: 619px) 100vw, 619px\" \/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">We know that same side interior angles are supplementary when lines are parallel. This gives rise to the important property in parallelograms which states that:&nbsp;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Two adjacent angles of a parallelogram are always supplementary.<\/strong><\/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\/10\/parallelogram.png\" alt=\"Parallelogram\" class=\"wp-image-34987\" title=\"Parallelogram\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/10\/parallelogram.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/10\/parallelogram-300x195.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">In the following parallelogram, \u2220A and \u2220B, \u2220B and \u2220C, \u2220C and \u2220D, and \u2220D and \u2220A are pairs of consecutive interior angles.&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"wj-table-class\"><thead><tr><th class=\"has-text-align-left\" data-align=\"left\"><strong>Parallel sides<\/strong><\/th><th class=\"has-text-align-left\" data-align=\"left\"><strong>Transversal<\/strong><\/th><th class=\"has-text-align-left\" data-align=\"left\"><strong>Property<\/strong><\/th><\/tr><\/thead><tbody><tr><td class=\"has-text-align-left\" data-align=\"left\">AB \u2225 CD<\/td><td class=\"has-text-align-left\" data-align=\"left\">BC<\/td><td class=\"has-text-align-left\" data-align=\"left\">\u2220B + \u2220C = 180\u00b0<\/td><\/tr><tr><td class=\"has-text-align-left\" data-align=\"left\">AB \u2225 CD<\/td><td class=\"has-text-align-left\" data-align=\"left\">AD<\/td><td class=\"has-text-align-left\" data-align=\"left\">\u2220A + \u2220D = 180\u00b0<\/td><\/tr><tr><td class=\"has-text-align-left\" data-align=\"left\">AD \u2225 BC&nbsp;<\/td><td class=\"has-text-align-left\" data-align=\"left\">CD<\/td><td class=\"has-text-align-left\" data-align=\"left\">\u2220C + \u2220D = 180\u00b0<\/td><\/tr><tr><td class=\"has-text-align-left\" data-align=\"left\">AD \u2225 BC&nbsp;<\/td><td class=\"has-text-align-left\" data-align=\"left\">AB<\/td><td class=\"has-text-align-left\" data-align=\"left\">\u2220A + \u2220B = 180\u00b0<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"8-facts-about-same-side-interior-angles\">Facts about Same Side Interior Angles<\/h2>\n\n\n\n<div style=\"color:#0369a1;background-color:#e0f2fe\" class=\"wp-block-roelmagdaleno-callout-block has-text-color has-background is-layout-flex wp-container-roelmagdaleno-callout-block-is-layout-4fc3f8e1 wp-block-roelmagdaleno-callout-block-is-layout-flex\"><div>\n<ul class=\"wp-block-list\">\n<li>Same-side interior angles are supplementary when the lines intersected by the transversal line are parallel.<\/li>\n\n\n\n<li>Same side interior angles are also known as consecutive interior angles or co-interior angles.<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"9-conclusion\">Conclusion<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">In this article, we learned about same side interior angles, which are also known as co-interior angles. We learned the important theorem based on same side interior angles that helps to determine whether two lines are parallel or not. Let\u2019s solve a few examples for better understanding.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"10-solved-examples-on-same-side-interior-angles\">Solved Examples on Same Side Interior Angles<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>1. Is <\/strong><strong>l<\/strong><strong> parallel to <\/strong><strong>m<\/strong><strong>?<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"326\" height=\"209\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/10\/same-side-interior-angles-measuring-120-degree-and-60-degree.png\" alt=\"Same side interior angles measuring 120\u00b0 and 60\u00b0\" class=\"wp-image-34988\" title=\"Same side interior angles measuring 120\u00b0 and 60\u00b0\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/10\/same-side-interior-angles-measuring-120-degree-and-60-degree.png 326w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/10\/same-side-interior-angles-measuring-120-degree-and-60-degree-300x192.png 300w\" sizes=\"auto, (max-width: 326px) 100vw, 326px\" \/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Solution:&nbsp;<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">The given pair of angles are the same side interior angles.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">120\u00b0 + 60\u00b0 = 180\u00b0<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">The angles are supplementary.&nbsp;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Hence, l is parallel to m.&nbsp;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>2. In the following figure, find the value of x.<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"313\" height=\"206\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/10\/same-side-interior-angles-problem.png\" alt=\"Same side interior angles problem\" class=\"wp-image-34989\" title=\"Same side interior angles problem\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/10\/same-side-interior-angles-problem.png 313w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/10\/same-side-interior-angles-problem-300x197.png 300w\" sizes=\"auto, (max-width: 313px) 100vw, 313px\" \/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Solution:&nbsp;<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Two parallels are cut by a transversal.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Given angles represent a pair of same side interior angles.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">They must add up to 180\u00b0.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">So, 141\u00b0 + x = 180\u00b0 (Same Side Interior Angles)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">x = 180\u00b0 \u2013 141\u00b0&nbsp;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">x = 39\u00b0<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>3. Find the value of x in the following figure,<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"304\" height=\"254\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/10\/same-side-interior-angle-solved-example.png\" alt=\"Same side interior angle solved example\" class=\"wp-image-34991\" title=\"Same side interior angle solved example\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/10\/same-side-interior-angle-solved-example.png 304w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/10\/same-side-interior-angle-solved-example-300x251.png 300w\" sizes=\"auto, (max-width: 304px) 100vw, 304px\" \/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Solution:<\/strong>&nbsp;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">2x + 3 + x \u2013 12 = 180\u00b0 (Same Side Interior Angles)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">3x \u2013 9 = 180\u00b0<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">3x = 180\u00b0 + 9\u00b0<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">3x = 189\u00b0<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">$\\Rightarrow x = \\frac{189^{\\circ}}{3} = 63^{\\circ}$\u00a0<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>4. <\/strong><strong>Two parallel lines are cut by a transversal, and a pair of same side interior angles measure (3y + 6)\u00b0 and (9y \u2013 24)\u00b0 respectively. Find the value of y.&nbsp;<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Solution:&nbsp;<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">(3y + 6)\u00b0 + (9y \u2013 24)\u00b0 =<strong> <\/strong>180\u00b0 (Same Side Interior Angles)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">12y \u2013 18\u00b0 = 180\u00b0<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">12y = 180\u00b0 + 18\u00b0<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">12y = 198\u00b0<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">y $= \\frac{198^{\\circ}}{12}$\u00a0<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">y = 16.5\u00b0&nbsp;<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"11-practice-problems-on-same-side-interior-angles\">Practice Problems on Same Side Interior Angles<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\"><div class=\"spq_wrapper\"><h2 style=\"display:none;\">Same Side Interior Angles - Definition, Theorem, Examples, Facts<\/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\">Which of the following is the pair of Same Side Interior Angles?<\/h3><\/span><div class=\"spq_question_image\"><img decoding=\"async\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/10\/MCQ-on-same-side-interior-angles.png\"><\/div><div class=\"spq_answer_block\" data-value=\"0\">\u22203 and \u22204<\/div><div class=\"spq_answer_block\" data-value=\"1\">\u22201 and \u22203<\/div><div class=\"spq_answer_block\" data-value=\"2\">\u22203 and \u22202<\/div><div class=\"spq_answer_block\" data-value=\"3\">\u22201 and \u22204<\/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: \u22203 and \u22204<br\/>Consecutive Interior Angles are the angles which are on the same side of transversal and are on the interior part. So, \u22203 and \u22204 are same side interior angles.<\/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\">Which of the following is true for the following figure?<\/h3><\/span><div class=\"spq_question_image\"><img decoding=\"async\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/10\/same-side-interior-angles-theorem-example.png\"><\/div><div class=\"spq_answer_block\" data-value=\"0\">P is perpendicular to Q.<\/div><div class=\"spq_answer_block\" data-value=\"1\">P and Q intersect each other.<\/div><div class=\"spq_answer_block\" data-value=\"2\">P is parallel to Q.<\/div><div class=\"spq_answer_block\" data-value=\"3\">P is not parallel to Q.<\/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: P is not parallel to Q.<br\/>150\u00b0 + 20\u00b0 = 170\u00b0<br>\r\nAngles are not supplementary.<br>\r\nHence, line P is not parallel to line Q.<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"3\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">3<\/span><h3 class=\"sqp_question_text\">If one of the same side interior angles is double the other, then what will be the value of each of the angles?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">40\u00b0 and 160\u00b0<\/div><div class=\"spq_answer_block\" data-value=\"1\">80\u00b0 and 100\u00b0<\/div><div class=\"spq_answer_block\" data-value=\"2\">45\u00b0 and 90\u00b0<\/div><div class=\"spq_answer_block\" data-value=\"3\">60\u00b0 and 120\u00b0<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: 60\u00b0 and 120\u00b0<br\/>Let one consecutive interior angle be x\u00b0.<br>\r\nOther interior angle = 2x\u00b0<br>\r\nx\u00b0 + 2x\u00b0 = 180\u00b0<br>\r\n3x\u00b0 = 180\u00b0<br>\r\nx = 60\u00b0<br>\r\n2x = 2  60\u00b0 = 120\u00b0<\/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\">For which value is each of the same side interior angles equal?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">60\u00b0<\/div><div class=\"spq_answer_block\" data-value=\"1\">80\u00b0<\/div><div class=\"spq_answer_block\" data-value=\"2\">90\u00b0<\/div><div class=\"spq_answer_block\" data-value=\"3\">100\u00b0<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: 90\u00b0<br\/>Let each consecutive interior angle be x.<br>\r\nx + x = 180\u00b0<br>\r\n2x = 180\u00b0<br>\r\nx $= \\frac{180^{\\circ}}{2} = 90^{\\circ}$<\/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 value of each angle in the following figure?<\/h3><\/span><div class=\"spq_question_image\"><img decoding=\"async\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/10\/Same-side-interior-angles-with-variables.png\"><\/div><div class=\"spq_answer_block\" data-value=\"0\">92\u00b0 and 88\u00b0<\/div><div class=\"spq_answer_block\" data-value=\"1\">100\u00b0 and 80\u00b0<\/div><div class=\"spq_answer_block\" data-value=\"2\">75\u00b0 and 105\u00b0<\/div><div class=\"spq_answer_block\" data-value=\"3\">95\u00b0 and 85\u00b0<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: 95\u00b0 and 85\u00b0<br\/>m is parallel to n and p is the transversal.<br>\r\n5x\u00b0 + (3x+28)\u00b0 = 180\u00b0 (Same Side Interior Angles)<br>\r\n8x + 28\u00b0 = 180\u00b0<br>\r\n8x = 180\u00b0 \u2013 28\u00b0<br>\r\n8x = 152\u00b0<br>\r\nx $= \\frac{152^{\\circ}}{8} = 19^{\\circ}$<br>\r\nAngles = 5  19\u00b0 = 95\u00b0 and 3  19\u00b0 + 28\u00b0 = 57\u00b0 + 28\u00b0 = 85\u00b0<\/span><\/div><\/div><\/div><\/div>  <script type=\"application\/ld+json\">{\n        \"@context\": \"https:\/\/schema.org\/\", \n        \"@type\": \"Quiz\", \n        \"typicalAgeRange\": \"3-11\",\n        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So, \u22203 and \u22204 are same side interior angles.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"\u22201 and \u22203\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Consecutive Interior Angles are the angles which are on the same side of transversal and are on the interior part. So, \u22203 and \u22204 are same side interior angles.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"\u22203 and \u22202\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Consecutive Interior Angles are the angles which are on the same side of transversal and are on the interior part. So, \u22203 and \u22204 are same side interior angles.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"\u22201 and \u22204\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Consecutive Interior Angles are the angles which are on the same side of transversal and are on the interior part. So, \u22203 and \u22204 are same side interior angles.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 0,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"\u22203 and \u22204\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Consecutive Interior Angles are the angles which are on the same side of transversal and are on the interior part. So, \u22203 and \u22204 are same side interior angles.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Consecutive Interior Angles are the angles which are on the same side of transversal and are on the interior part. So, \u22203 and \u22204 are same side interior angles.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Which of the following is true for the following figure?\",\n                    \"text\": \"Which of the following is true for the following figure? <img src=\\\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/10\/same-side-interior-angles-theorem-example.png\\\"\/>\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"150\u00b0 + 20\u00b0 = 170\u00b0<br>\r\nAngles are not supplementary.<br>\r\nHence, line P is not parallel to line Q.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"P is perpendicular to Q.\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"150\u00b0 + 20\u00b0 = 170\u00b0<br>\r\nAngles are not supplementary.<br>\r\nHence, line P is not parallel to line Q.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"P and Q intersect each other.\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"150\u00b0 + 20\u00b0 = 170\u00b0<br>\r\nAngles are not supplementary.<br>\r\nHence, line P is not parallel to line Q.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"P is parallel to Q.\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"150\u00b0 + 20\u00b0 = 170\u00b0<br>\r\nAngles are not supplementary.<br>\r\nHence, line P is not parallel to line Q.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 3,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"P is not parallel to Q.\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"150\u00b0 + 20\u00b0 = 170\u00b0<br>\r\nAngles are not supplementary.<br>\r\nHence, line P is not parallel to line Q.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"150\u00b0 + 20\u00b0 = 170\u00b0<br>\r\nAngles are not supplementary.<br>\r\nHence, line P is not parallel to line Q.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"If one of the same side interior angles is double the other, then what will be the value of each of the angles?\",\n                    \"text\": \"If one of the same side interior angles is double the other, then what will be the value of each of the angles?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Let one consecutive interior angle be x\u00b0.<br>\r\nOther interior angle = 2x\u00b0<br>\r\nx\u00b0 + 2x\u00b0 = 180\u00b0<br>\r\n3x\u00b0 = 180\u00b0<br>\r\nx = 60\u00b0<br>\r\n2x = 2  60\u00b0 = 120\u00b0\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"40\u00b0 and 160\u00b0\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Let one consecutive interior angle be x\u00b0.<br>\r\nOther interior angle = 2x\u00b0<br>\r\nx\u00b0 + 2x\u00b0 = 180\u00b0<br>\r\n3x\u00b0 = 180\u00b0<br>\r\nx = 60\u00b0<br>\r\n2x = 2  60\u00b0 = 120\u00b0\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"80\u00b0 and 100\u00b0\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Let one consecutive interior angle be x\u00b0.<br>\r\nOther interior angle = 2x\u00b0<br>\r\nx\u00b0 + 2x\u00b0 = 180\u00b0<br>\r\n3x\u00b0 = 180\u00b0<br>\r\nx = 60\u00b0<br>\r\n2x = 2  60\u00b0 = 120\u00b0\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"45\u00b0 and 90\u00b0\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Let one consecutive interior angle be x\u00b0.<br>\r\nOther interior angle = 2x\u00b0<br>\r\nx\u00b0 + 2x\u00b0 = 180\u00b0<br>\r\n3x\u00b0 = 180\u00b0<br>\r\nx = 60\u00b0<br>\r\n2x = 2  60\u00b0 = 120\u00b0\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 3,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"60\u00b0 and 120\u00b0\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Let one consecutive interior angle be x\u00b0.<br>\r\nOther interior angle = 2x\u00b0<br>\r\nx\u00b0 + 2x\u00b0 = 180\u00b0<br>\r\n3x\u00b0 = 180\u00b0<br>\r\nx = 60\u00b0<br>\r\n2x = 2  60\u00b0 = 120\u00b0\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Let one consecutive interior angle be x\u00b0.<br>\r\nOther interior angle = 2x\u00b0<br>\r\nx\u00b0 + 2x\u00b0 = 180\u00b0<br>\r\n3x\u00b0 = 180\u00b0<br>\r\nx = 60\u00b0<br>\r\n2x = 2  60\u00b0 = 120\u00b0\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"For which value is each of the same side interior angles equal?\",\n                    \"text\": \"For which value is each of the same side interior angles equal?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Let each consecutive interior angle be x.<br>\r\nx + x = 180\u00b0<br>\r\n2x = 180\u00b0<br>\r\nx $$= \\\\frac{180^{\\\\circ}}{2} = 90^{\\\\circ}$$\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"60\u00b0\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Let each consecutive interior angle be x.<br>\r\nx + x = 180\u00b0<br>\r\n2x = 180\u00b0<br>\r\nx $$= \\\\frac{180^{\\\\circ}}{2} = 90^{\\\\circ}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"80\u00b0\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Let each consecutive interior angle be x.<br>\r\nx + x = 180\u00b0<br>\r\n2x = 180\u00b0<br>\r\nx $$= \\\\frac{180^{\\\\circ}}{2} = 90^{\\\\circ}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"100\u00b0\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Let each consecutive interior angle be x.<br>\r\nx + x = 180\u00b0<br>\r\n2x = 180\u00b0<br>\r\nx $$= \\\\frac{180^{\\\\circ}}{2} = 90^{\\\\circ}$$\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 2,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"90\u00b0\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Let each consecutive interior angle be x.<br>\r\nx + x = 180\u00b0<br>\r\n2x = 180\u00b0<br>\r\nx $$= \\\\frac{180^{\\\\circ}}{2} = 90^{\\\\circ}$$\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Let each consecutive interior angle be x.<br>\r\nx + x = 180\u00b0<br>\r\n2x = 180\u00b0<br>\r\nx $$= \\\\frac{180^{\\\\circ}}{2} = 90^{\\\\circ}$$\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"What is the value of each angle in the following figure?\",\n                    \"text\": \"What is the value of each angle in the following figure? <img src=\\\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/10\/Same-side-interior-angles-with-variables.png\\\"\/>\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"m is parallel to n and p is the transversal.<br>\r\n5x\u00b0 + (3x+28)\u00b0 = 180\u00b0 (Same Side Interior Angles)<br>\r\n8x + 28\u00b0 = 180\u00b0<br>\r\n8x = 180\u00b0 \u2013 28\u00b0<br>\r\n8x = 152\u00b0<br>\r\nx $$= \\\\frac{152^{\\\\circ}}{8} = 19^{\\\\circ}$$<br>\r\nAngles = 5  19\u00b0 = 95\u00b0 and 3  19\u00b0 + 28\u00b0 = 57\u00b0 + 28\u00b0 = 85\u00b0\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"92\u00b0 and 88\u00b0\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"m is parallel to n and p is the transversal.<br>\r\n5x\u00b0 + (3x+28)\u00b0 = 180\u00b0 (Same Side Interior Angles)<br>\r\n8x + 28\u00b0 = 180\u00b0<br>\r\n8x = 180\u00b0 \u2013 28\u00b0<br>\r\n8x = 152\u00b0<br>\r\nx $$= \\\\frac{152^{\\\\circ}}{8} = 19^{\\\\circ}$$<br>\r\nAngles = 5  19\u00b0 = 95\u00b0 and 3  19\u00b0 + 28\u00b0 = 57\u00b0 + 28\u00b0 = 85\u00b0\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"100\u00b0 and 80\u00b0\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"m is parallel to n and p is the transversal.<br>\r\n5x\u00b0 + (3x+28)\u00b0 = 180\u00b0 (Same Side Interior Angles)<br>\r\n8x + 28\u00b0 = 180\u00b0<br>\r\n8x = 180\u00b0 \u2013 28\u00b0<br>\r\n8x = 152\u00b0<br>\r\nx $$= \\\\frac{152^{\\\\circ}}{8} = 19^{\\\\circ}$$<br>\r\nAngles = 5  19\u00b0 = 95\u00b0 and 3  19\u00b0 + 28\u00b0 = 57\u00b0 + 28\u00b0 = 85\u00b0\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"75\u00b0 and 105\u00b0\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"m is parallel to n and p is the transversal.<br>\r\n5x\u00b0 + (3x+28)\u00b0 = 180\u00b0 (Same Side Interior Angles)<br>\r\n8x + 28\u00b0 = 180\u00b0<br>\r\n8x = 180\u00b0 \u2013 28\u00b0<br>\r\n8x = 152\u00b0<br>\r\nx $$= \\\\frac{152^{\\\\circ}}{8} = 19^{\\\\circ}$$<br>\r\nAngles = 5  19\u00b0 = 95\u00b0 and 3  19\u00b0 + 28\u00b0 = 57\u00b0 + 28\u00b0 = 85\u00b0\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 3,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"95\u00b0 and 85\u00b0\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"m is parallel to n and p is the transversal.<br>\r\n5x\u00b0 + (3x+28)\u00b0 = 180\u00b0 (Same Side Interior Angles)<br>\r\n8x + 28\u00b0 = 180\u00b0<br>\r\n8x = 180\u00b0 \u2013 28\u00b0<br>\r\n8x = 152\u00b0<br>\r\nx $$= \\\\frac{152^{\\\\circ}}{8} = 19^{\\\\circ}$$<br>\r\nAngles = 5  19\u00b0 = 95\u00b0 and 3  19\u00b0 + 28\u00b0 = 57\u00b0 + 28\u00b0 = 85\u00b0\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"m is parallel to n and p is the transversal.<br>\r\n5x\u00b0 + (3x+28)\u00b0 = 180\u00b0 (Same Side Interior Angles)<br>\r\n8x + 28\u00b0 = 180\u00b0<br>\r\n8x = 180\u00b0 \u2013 28\u00b0<br>\r\n8x = 152\u00b0<br>\r\nx $$= \\\\frac{152^{\\\\circ}}{8} = 19^{\\\\circ}$$<br>\r\nAngles = 5  19\u00b0 = 95\u00b0 and 3  19\u00b0 + 28\u00b0 = 57\u00b0 + 28\u00b0 = 85\u00b0\"\n                      }\n                    } \n\n                    }]}<\/script><\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"12-frequently-asked-questions-about-same-side-interior-angles\">Frequently Asked Questions about Same Side Interior Angles<\/h2>\n\n\n<div class=\"wp-block-ub-content-toggle\" id=\"ub-content-toggle-d970e131-fa0a-488b-8193-ee0043a5d176\" 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-d970e131-fa0a-488b-8193-ee0043a5d176\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-d970e131-fa0a-488b-8193-ee0043a5d176\"><strong>Are Same Side Interior 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-0-d970e131-fa0a-488b-8193-ee0043a5d176\">\n\n<p class=\"wp-block-paragraph\">No. Same Side Interior angles are supplementary when the lines 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-d970e131-fa0a-488b-8193-ee0043a5d176\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-d970e131-fa0a-488b-8193-ee0043a5d176\"><strong>What is another name for Same Side 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-1-d970e131-fa0a-488b-8193-ee0043a5d176\">\n\n<p class=\"wp-block-paragraph\">The other name for Same Side Interior angles is co interior angles or interior angles on the same side of transversal.<\/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-d970e131-fa0a-488b-8193-ee0043a5d176\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-d970e131-fa0a-488b-8193-ee0043a5d176\"><strong>Are the same side interior angles congruent? When are the same side interior angles equal?<\/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-d970e131-fa0a-488b-8193-ee0043a5d176\">\n\n<p class=\"wp-block-paragraph\">Same side interior angles formed by two parallel lines and a transversal are supplementary and not congruent. Same Side Interior angles are equal only in a rectangle.<\/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-d970e131-fa0a-488b-8193-ee0043a5d176\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-d970e131-fa0a-488b-8193-ee0043a5d176\"><strong>What are the Same Side Exterior 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-d970e131-fa0a-488b-8193-ee0043a5d176\">\n\n<p class=\"wp-block-paragraph\">Same side exterior angles are the angles which lie on the exterior side of the two lines and are on the opposite side of transversal. They are supplementary when lines 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-4-d970e131-fa0a-488b-8193-ee0043a5d176\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-d970e131-fa0a-488b-8193-ee0043a5d176\"><strong>How to solve the same side 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-4-d970e131-fa0a-488b-8193-ee0043a5d176\">\n\n<p class=\"wp-block-paragraph\">If the lines are parallel and you know one angle in the pair of same side interior angles, then you can find the other angle by subtracting the given angle from 180 degrees.<\/p>\n\n<\/div><\/div>\n<\/div>","protected":false},"excerpt":{"rendered":"<p>What Are the Same Side Interior Angles in Geometry? Same side interior angles are a pair of non-adjacent angles formed by two parallel lines (or non-parallel lines) cut by a transversal. They lie on the same side of the transversal and in the interior region between two lines. The same side interior angles are also &#8230; <a title=\"Same Side Interior Angles &#8211; Definition, Theorem, Examples, Facts\" class=\"read-more\" href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/same-side-interior-angles\" aria-label=\"More on Same Side Interior Angles &#8211; Definition, Theorem, Examples, Facts\">Read more<\/a><\/p>\n","protected":false},"author":2,"featured_media":34995,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"ub_ctt_via":"","footnotes":""},"categories":[1],"tags":[],"class_list":["post-34977","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-all"],"featured_image_src":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/10\/same-side-interior-angles-1.png","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\/34977","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=34977"}],"version-history":[{"count":8,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/34977\/revisions"}],"predecessor-version":[{"id":35003,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/34977\/revisions\/35003"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/media\/34995"}],"wp:attachment":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/media?parent=34977"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/categories?post=34977"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/tags?post=34977"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}