{"id":154926,"date":"2022-03-26T00:04:38","date_gmt":"2022-03-25T18:34:38","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/supplementary-angles-4\/"},"modified":"2023-06-16T18:49:14","modified_gmt":"2023-06-16T13:19:14","slug":"supplementary-angles-4","status":"publish","type":"post","link":"https:\/\/infinitylearn.com\/surge\/maths\/supplementary-angles\/","title":{"rendered":"Supplementary Angles"},"content":{"rendered":"<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_37 counter-hierarchy ez-toc-counter ez-toc-grey ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title\">Table of Contents<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" style=\"display: none;\"><label for=\"item\" aria-label=\"Table of Content\"><span style=\"display: flex;align-items: center;width: 35px;height: 30px;justify-content: center;\"><svg style=\"fill: #999;color:#999\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #999;color:#999\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/label><input type=\"checkbox\" id=\"item\"><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1' style='display:block'><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/supplementary-angles\/#Supplementary_Angles\" title=\"Supplementary Angles\">Supplementary Angles<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/supplementary-angles\/#What_is_a_Supplementary_Angle\" title=\"What is a Supplementary Angle?\">What is a Supplementary Angle?<\/a><ul class='ez-toc-list-level-3'><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/supplementary-angles\/#Understanding_Supplementary_Angles\" title=\"Understanding Supplementary Angles\">Understanding Supplementary Angles<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/supplementary-angles\/#Properties_of_Supplementary_Angles\" title=\"Properties of Supplementary Angles\">Properties of Supplementary Angles<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/supplementary-angles\/#Supplementary_Theorem\" title=\"Supplementary Theorem\">Supplementary Theorem<\/a><ul class='ez-toc-list-level-4'><li class='ez-toc-heading-level-4'><ul class='ez-toc-list-level-4'><li class='ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/supplementary-angles\/#Proof\" title=\"Proof\">Proof<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/supplementary-angles\/#How_to_Find_two_Angles_are_Supplementary\" title=\"How to Find two Angles are Supplementary?\">How to Find two Angles are Supplementary?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-8\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/supplementary-angles\/#Adjacent_and_Non-Adjacent_Supplementary_Angles\" title=\"Adjacent and Non-Adjacent Supplementary Angles\">Adjacent and Non-Adjacent Supplementary Angles<\/a><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"Supplementary_Angles\"><\/span>Supplementary Angles<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>Supplementary Angles- Introduction: A <a href=\"https:\/\/infinitylearn.com\/surge\/maths\/supplementary-angles\/\">supplementary<\/a> angle is an angle which is adjacent to a right angle. It is supplementary to the right angle, and its measure is the sum of the measures of the two angles which it supplements. Supplementary angles are always acute angles.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"What_is_a_Supplementary_Angle\"><\/span>What is a Supplementary Angle?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>A <a href=\"https:\/\/en.wikipedia.org\/wiki\/Angle#Supplementary_angle\">supplementary<\/a> angle is an angle formed by two lines that intersect and have a common perpendicular line. The angle is supplementary to the angle that is not adjacent to the common perpendicular.<\/p>\n<p><img loading=\"lazy\" class=\"aligncenter wp-image-568836 size-large\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/Supplementary-angles-1-1024x597.jpg\" alt=\"Supplementary Angles- Introduction\" width=\"640\" height=\"373\" srcset=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/Supplementary-angles-1-1024x597.jpg?v=1685001163 1024w, https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/Supplementary-angles-1-300x175.jpg?v=1685001163 300w, https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/Supplementary-angles-1-768x448.jpg?v=1685001163 768w, https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/Supplementary-angles-1.jpg?v=1685001163 1200w\" sizes=\"(max-width: 640px) 100vw, 640px\" \/><\/p>\n<h3><span class=\"ez-toc-section\" id=\"Understanding_Supplementary_Angles\"><\/span>Understanding Supplementary Angles<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<ul>\n<li>Supplementary angles are angles that are adjacent and have the same measure. In other words, supplementary angles are two angles that add up to 180 degrees. This can be seen in the diagram below.<\/li>\n<li>Angle A and Angle B are supplementary angles because they both measure 90 degrees. Angle A and Angle C are also supplementary angles because they both measure 90 degrees. However, Angle A and Angle D are not supplementary angles because their measures are not the same. Angle A measures 45 degrees and Angle D measures 45 degrees, but they do not add up to 180 degrees.<\/li>\n<\/ul>\n<h2><span class=\"ez-toc-section\" id=\"Properties_of_Supplementary_Angles\"><\/span>Properties of Supplementary Angles<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<ul>\n<li>Supplementary angles are angles that add up to 180 degrees.<\/li>\n<li>The sum of the measures of the angles in a triangle is 180 degrees.<\/li>\n<li>The angles in a quadrilateral sum to 360 degrees.<\/li>\n<\/ul>\n<h2><span class=\"ez-toc-section\" id=\"Supplementary_Theorem\"><\/span>Supplementary Theorem<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>If is a function and is a real number, then there exists a unique function such that .<\/p>\n<h4><span class=\"ez-toc-section\" id=\"Proof\"><\/span>Proof<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<ul>\n<li>We first show that the function exists. If for all , then the function exists. If there is a for which does not equal , then there is a point such that . But for all , so for some . This contradicts the assumption that for all .<\/li>\n<li>We now show that is unique. Suppose that and are both functions such that for all . It follows that for all . But this is impossible, since and have different domains.<\/li>\n<\/ul>\n<h3><span class=\"ez-toc-section\" id=\"How_to_Find_two_Angles_are_Supplementary\"><\/span>How to Find two Angles are Supplementary?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>Two angles are supplementary if the sum of their angles is 180 degrees. To find the angles, you can use a protractor to measure the angles.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"Adjacent_and_Non-Adjacent_Supplementary_Angles\"><\/span>Adjacent and Non-Adjacent Supplementary Angles<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>Supplementary angles are two angles that add up to 180 degrees. Adjacent supplementary angles are supplementary angles that are next to each other. Non-adjacent supplementary angles are supplementary angles that are not next to each other.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Supplementary Angles Supplementary Angles- Introduction: A supplementary angle is an angle which is adjacent to a right angle. It is [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_yoast_wpseo_focuskw":"Supplementary Angles- Introduction","_yoast_wpseo_title":"Supplementary Angles | Definition, Examples, How To Find angles","_yoast_wpseo_metadesc":"A supplementary angle is an angle which is adjacent to a right angle. 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