{"id":250378,"date":"2025-07-10T09:40:31","date_gmt":"2025-07-10T09:40:31","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=250378"},"modified":"2025-07-10T09:40:33","modified_gmt":"2025-07-10T09:40:33","slug":"find-the-measure-of-angle-in-the-figure-below","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/07\/10\/find-the-measure-of-angle-in-the-figure-below\/","title":{"rendered":"Find the measure of angle\u00a0\u00a0in the figure below."},"content":{"rendered":"\n<pre id=\"preorder-ask-header-text\" class=\"wp-block-preformatted\">Find the measure of angle&nbsp;&nbsp;in the figure below.<\/pre>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/07\/image-368.png\" alt=\"\" class=\"wp-image-250441\"\/><\/figure>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-1-color\">The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p>The correct answer is 58.<\/p>\n\n\n\n<p>To find the measure of angle \u2220CED, we need to understand the properties of angles on a straight line. The image displays a straight line passing through points C, E, and A. A straight line represents a straight angle, which by definition measures 180 degrees. Therefore, the total measure of the angle formed by the line, \u2220CEA, is 180 degrees.<\/p>\n\n\n\n<p>In the figure, a ray ED originates from point E on the line. This ray divides the straight angle \u2220CEA into two adjacent angles: \u2220CED and \u2220DEA. When two angles are adjacent and their non-common sides form a straight line, they are called supplementary angles. A key property of supplementary angles is that their measures add up to 180 degrees.<\/p>\n\n\n\n<p>This gives us the equation:<br>m\u2220CED + m\u2220DEA = 180\u00b0<\/p>\n\n\n\n<p>From the diagram, we are given the measure of one of the angles:<br>m\u2220DEA = 122\u00b0<\/p>\n\n\n\n<p>Now we can substitute this known value into our equation to solve for the measure of angle \u2220CED:<br>m\u2220CED + 122\u00b0 = 180\u00b0<\/p>\n\n\n\n<p>To find the value of m\u2220CED, we isolate it by subtracting 122\u00b0 from both sides of the equation:<br>m\u2220CED = 180\u00b0 &#8211; 122\u00b0<\/p>\n\n\n\n<p>Performing the subtraction gives us the result:<br>m\u2220CED = 58\u00b0<\/p>\n\n\n\n<p>Therefore, the measure of angle \u2220CED is 58 degrees. The question asks to enter only the number, so the solution is 58.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/07\/learnexams-banner6-112.jpeg\" alt=\"\" class=\"wp-image-250444\"\/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>Find the measure of angle&nbsp;&nbsp;in the figure below. The Correct Answer and Explanation is: The correct answer is 58. To find the measure of angle \u2220CED, we need to understand the properties of angles on a straight line. The image displays a straight line passing through points C, E, and A. A straight line represents [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[25],"tags":[],"class_list":["post-250378","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/250378","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/comments?post=250378"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/250378\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=250378"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=250378"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=250378"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}