{"id":98,"date":"2022-04-13T08:20:04","date_gmt":"2022-04-13T08:20:04","guid":{"rendered":"http:\/\/9thclass.deltapublications.in\/?page_id=98"},"modified":"2025-09-06T05:37:46","modified_gmt":"2025-09-06T05:37:46","slug":"f-4-find-measures-of-complementary-supplementary-vertical-and-adjacent-angles","status":"publish","type":"page","link":"https:\/\/9thclass.deltapublications.in\/index.php\/f-4-find-measures-of-complementary-supplementary-vertical-and-adjacent-angles\/","title":{"rendered":"F.4 Find measures of complementary, supplementary, vertical and adjacent angles"},"content":{"rendered":"\n<h2 class=\"wp-block-heading has-text-align-center has-text-color\" style=\"color:#00056d;text-transform:uppercase\"><strong>Find measures of complementary, supplementary, vertical and adjacent angles<\/strong><\/h2>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:100%\">\n<div style=\"position: relative; width: 100%; height: 0; padding-top: 56.2500%;\n padding-bottom: 0; box-shadow: 0 2px 8px 0 rgba(63,69,81,0.16); margin-top: 1.6em; margin-bottom: 0.9em; overflow: hidden;\n border-radius: 8px; will-change: transform;\">\n  <iframe loading=\"lazy\" style=\"position: absolute; width: 100%; height: 100%; top: 0; left: 0; border: none; padding: 0;margin: 0;\"\n    src=\"https:\/\/www.canva.com\/design\/DAGwmUP8lek\/1ZdcesbUNgh_B2JQWC79vg\/watch?embed\" allowfullscreen=\"allowfullscreen\" allow=\"fullscreen\">\n  <\/iframe>\n<\/div>\n<a href=\"https:&#x2F;&#x2F;www.canva.com&#x2F;design&#x2F;DAGwmUP8lek&#x2F;1ZdcesbUNgh_B2JQWC79vg&#x2F;watch?utm_content=DAGwmUP8lek&amp;utm_campaign=designshare&amp;utm_medium=embeds&amp;utm_source=link\" target=\"_blank\" rel=\"noopener\">Find Measures of Complementary, Supplementary, Vertical and Adjacent Angles<\/a> by Delta publications\n<\/div>\n<\/div>\n\n\n\n<p class=\"has-text-color has-huge-font-size\" style=\"color:#74008b\">key notes :<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-text-color has-link-color has-fixed-layout\" style=\"color:#000060\"><tbody><tr><td><strong>Complementary Angles<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Definition<\/strong>: Two angles are <strong>complementary<\/strong> if the <strong>sum of their measures is 90\u00b0<\/strong>.<\/li>\n\n\n\n<li><strong>Example<\/strong>: If one angle is 40\u00b0, the other angle is 90\u00b0\u221240\u00b0=50\u00b0.<\/li>\n\n\n\n<li><strong>Formula<\/strong>: <\/li>\n<\/ul>\n\n\n\n<p class=\"has-text-align-center\">If&nbsp;\u2220A+\u2220B=90\u00b0,&nbsp;then&nbsp;\u2220A&nbsp;and&nbsp;\u2220B&nbsp;are&nbsp;complementary.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-text-color has-link-color has-fixed-layout\" style=\"color:#000060\"><tbody><tr><td><strong>\ud83d\udd39 Supplementary Angles<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Definition<\/strong>: Two angles are <strong>supplementary<\/strong> if the <strong>sum of their measures is 180\u00b0<\/strong>.<\/li>\n\n\n\n<li><strong>Example<\/strong>: If one angle is 120\u00b0, the other angle is 180\u00b0\u2212120\u00b0=60\u00b0<\/li>\n\n\n\n<li><strong>Formula<\/strong>: <\/li>\n<\/ul>\n\n\n\n<p class=\"has-text-align-center\">If&nbsp;\u2220A+\u2220B=180\u00b0,&nbsp;then&nbsp;\u2220A&nbsp;and&nbsp;\u2220B&nbsp;are&nbsp;supplementary.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-text-color has-link-color has-fixed-layout\" style=\"color:#000060\"><tbody><tr><td><strong>\ud83d\udd39 Vertical Angles<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Definition<\/strong>: <strong>Vertical angles<\/strong> are the opposite angles formed when two lines intersect.<\/li>\n\n\n\n<li><strong>Property<\/strong>: Vertical angles are <strong>always equal<\/strong>.<\/li>\n\n\n\n<li><strong>Example<\/strong>: If two lines intersect and one angle is 75\u00b0, the opposite vertical angle is also 75\u00b0.<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-text-color has-link-color has-fixed-layout\" style=\"color:#000060\"><tbody><tr><td><strong>\ud83d\udd39  Adjacent Angles<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Definition<\/strong>: <strong>Adjacent angles<\/strong> are two angles that share a <strong>common vertex<\/strong> and a <strong>common side<\/strong>, but do not overlap.<\/li>\n\n\n\n<li><strong>Example<\/strong>: If two angles share one arm, such as \u2220ABC and \u2220CBD, they are adjacent.<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-text-color has-link-color has-fixed-layout\" style=\"color:#000060\"><tbody><tr><td><strong>\ud83d\udcd0 Key Properties to Remember<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<ol class=\"wp-block-list\">\n<li>Complementary angles \u2192 sum = 90\u00b0.<\/li>\n\n\n\n<li>Supplementary angles \u2192 sum = 180\u00b0.<\/li>\n\n\n\n<li>Vertical angles \u2192 equal in measure.<\/li>\n\n\n\n<li>Adjacent angles \u2192 share a common side and vertex.<\/li>\n<\/ol>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-text-color has-link-color has-fixed-layout\" style=\"color:#000060\"><tbody><tr><td><strong>\ud83d\udcdd Example Problems<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<ol class=\"wp-block-list\">\n<li>If one angle is 35\u00b0, find its complement.<br>\u2192 Complement = 90\u00b0\u221235\u00b0=55<\/li>\n\n\n\n<li>If one angle is 110\u00b0, find its supplement.<br>\u2192 Supplement = 180\u00b0\u2212110\u00b0=70\u00b0<\/li>\n\n\n\n<li>Two intersecting lines form one angle of 65\u00b0. Find the opposite angle.<br>\u2192 Vertical angle = 65\u00b0.<\/li>\n\n\n\n<li>\u2220PQR = 40\u00b0 and \u2220RQS = 50\u00b0. Are they complementary?<br>\u2192 40\u00b0+50\u00b0=90\u00b0. Yes, they are complementary.<\/li>\n<\/ol>\n\n\n\n<div class=\"wp-block-group has-background has-normal-font-size\" style=\"background-color:#ffe2e2\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<p>Adjacent angles share a vertex and a side, but no interior points.<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"400\" src=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2022\/10\/DGF-is-adjacent-to-BGD.-removebg-preview.png\" alt=\"\" class=\"wp-image-2969\" style=\"width:250px;height:200px\" srcset=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2022\/10\/DGF-is-adjacent-to-BGD.-removebg-preview.png 500w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2022\/10\/DGF-is-adjacent-to-BGD.-removebg-preview-300x240.png 300w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure><\/div><\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background has-normal-font-size\" style=\"background-color:#ace0fa\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<p>Congruent angles have the same measure.<\/p>\n\n\n\n<p>Vertical angles are angles formed opposite each other when two lines intersect. Vertical angles are congruent.<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"400\" src=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2022\/10\/DGF-is-adjacent-to-BGD.-3-removebg-preview.png\" alt=\"\" class=\"wp-image-2973\" style=\"width:250px;height:200px\" srcset=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2022\/10\/DGF-is-adjacent-to-BGD.-3-removebg-preview.png 500w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2022\/10\/DGF-is-adjacent-to-BGD.-3-removebg-preview-300x240.png 300w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure><\/div>\n\n\n<p>\u22206&nbsp;and&nbsp;\u22203&nbsp;are congruent. They are vertical angles, which have the same measure.<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background has-normal-font-size\" style=\"background-color:#fff2aa\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<p>Complementary angles have measures that add to 90\u00b0.<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"400\" src=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2022\/10\/DGF-is-adjacent-to-BGD.-4-removebg-preview.png\" alt=\"\" class=\"wp-image-2977\" style=\"width:250px;height:200px\" srcset=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2022\/10\/DGF-is-adjacent-to-BGD.-4-removebg-preview.png 500w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2022\/10\/DGF-is-adjacent-to-BGD.-4-removebg-preview-300x240.png 300w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure><\/div>\n\n\n<p>The angle that is complementary to&nbsp;\u2220<em>CDA<\/em>&nbsp;is&nbsp;\u2220<em>BDC<\/em>. Together they form a right angle, so their angles add up to 90\u00b0.<\/p>\n\n\n\n<p>Angles complementary to&nbsp;\u2220<em>CDA<\/em>&nbsp;include&nbsp;\u2220<em>BDC<\/em>.<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background has-normal-font-size\" style=\"background-color:#afffdc\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<p>Supplementary angles have measures that add to 180\u00b0.<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"400\" src=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2022\/10\/DGF-is-adjacent-to-BGD.-2-removebg-preview-1.png\" alt=\"\" class=\"wp-image-2983\" style=\"width:250px;height:200px\" srcset=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2022\/10\/DGF-is-adjacent-to-BGD.-2-removebg-preview-1.png 500w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2022\/10\/DGF-is-adjacent-to-BGD.-2-removebg-preview-1-300x240.png 300w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure><\/div>\n\n\n<p>\u2220BFC is supplementary to \u2220CFE. Together they form a straight line, which has a measure of 180\u00b0. So, their angles add up to 180\u00b0.<\/p>\n<\/div><\/div>\n\n\n\n<p class=\"has-text-align-center has-text-color has-large-font-size\" style=\"color:#105000\"><strong>Learn with an example<\/strong><\/p>\n\n\n\n<div class=\"wp-block-group has-background has-normal-font-size\" style=\"background-color:#cce2f9\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<div class=\"wp-block-group has-background-background-color has-background has-normal-font-size\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<p class=\"has-text-color\" style=\"color:#b00012\"><strong>What is the value of&nbsp;<em>p<\/em>?<\/strong><\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"502\" src=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Untitled-design-4.png\" alt=\"\" class=\"wp-image-7389\" style=\"width:196px;height:197px\" srcset=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Untitled-design-4.png 500w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Untitled-design-4-300x300.png 300w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Untitled-design-4-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure><\/div>\n\n\n<p>_______ \u00b0<\/p>\n<\/div><\/div>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"499\" height=\"500\" src=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Untitled_design__5_-removebg-preview.png\" alt=\"\" class=\"wp-image-7390\" style=\"width:234px;height:234px\" srcset=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Untitled_design__5_-removebg-preview.png 499w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Untitled_design__5_-removebg-preview-300x300.png 300w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Untitled_design__5_-removebg-preview-150x150.png 150w\" sizes=\"auto, (max-width: 499px) 100vw, 499px\" \/><\/figure><\/div>\n\n\n<p>Vertical angles are congruent, so they have the same measure.<\/p>\n\n\n\n<p>So, p = 78\u00b0.<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background has-normal-font-size\" style=\"background-color:#f9cff7\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<div class=\"wp-block-group has-background-background-color has-background\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<p class=\"has-text-color\" style=\"color:#b00012\"><strong>What is the value of&nbsp;<em>y<\/em>?<\/strong><\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/Untitled-design-9-1.png\" alt=\"\" class=\"wp-image-8444\" style=\"width:193px;height:193px\" srcset=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/Untitled-design-9-1.png 500w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/Untitled-design-9-1-300x300.png 300w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/Untitled-design-9-1-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure><\/div>\n\n\n<p>___ \u00b0<\/p>\n<\/div><\/div>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/Untitled_design__9_-removebg-preview.png\" alt=\"\" class=\"wp-image-8445\" style=\"width:206px;height:206px\" srcset=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/Untitled_design__9_-removebg-preview.png 500w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/Untitled_design__9_-removebg-preview-300x300.png 300w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/Untitled_design__9_-removebg-preview-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure><\/div>\n\n\n<p>Add the measures of the supplementary angles and set the sum equal to 180\u00b0. Then solve for&nbsp;<em>y<\/em>.<\/p>\n\n\n\n<p>y + 133\u00b0 = 180\u00b0<\/p>\n\n\n\n<p>y = 180\u00b0 \u2212 133\u00b0<\/p>\n\n\n\n<p>y = 47\u00b0<\/p>\n\n\n\n<p>So, y = 47\u00b0.<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background has-normal-font-size\" style=\"background-color:#d4d6fb\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<div class=\"wp-block-group has-background-background-color has-background\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<p class=\"has-text-color\" style=\"color:#b00012\"><strong>What is the value of&nbsp;<em>n<\/em>?<\/strong><\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/Untitled-design-2.png\" alt=\"\" class=\"wp-image-8448\" style=\"width:196px;height:196px\" srcset=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/Untitled-design-2.png 500w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/Untitled-design-2-300x300.png 300w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/Untitled-design-2-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure><\/div>\n\n\n<p>______\u00b0<\/p>\n<\/div><\/div>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/Untitled_design__1_-removebg-preview-4.png\" alt=\"\" class=\"wp-image-8449\" style=\"width:176px;height:176px\" srcset=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/Untitled_design__1_-removebg-preview-4.png 500w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/Untitled_design__1_-removebg-preview-4-300x300.png 300w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/Untitled_design__1_-removebg-preview-4-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure><\/div>\n\n\n<p>Vertical angles are congruent, so they have the same measure.<\/p>\n\n\n\n<p>So,&nbsp;<em>n<\/em>&nbsp;= 65\u00b0.<\/p>\n<\/div><\/div>\n\n\n\n<p class=\"has-text-color has-large-font-size\" style=\"color:#d90000\">Let&#8217;s Practice!<\/p>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-full\"><a href=\"https:\/\/wordwall.net\/play\/60423\/321\/620\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-31.png\" alt=\"\" class=\"wp-image-7391\" srcset=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-31.png 500w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-31-300x300.png 300w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-31-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-full\"><a href=\"https:\/\/wordwall.net\/play\/36393\/523\/352\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-33.png\" alt=\"\" class=\"wp-image-7392\" srcset=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-33.png 500w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-33-300x300.png 300w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-33-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Find measures of complementary, supplementary, vertical and adjacent angles Find Measures of Complementary, Supplementary, Vertical and Adjacent Angles by Delta publications key notes : Complementary Angles If&nbsp;\u2220A+\u2220B=90\u00b0,&nbsp;then&nbsp;\u2220A&nbsp;and&nbsp;\u2220B&nbsp;are&nbsp;complementary. \ud83d\udd39 Supplementary Angles If&nbsp;\u2220A+\u2220B=180\u00b0,&nbsp;then&nbsp;\u2220A&nbsp;and&nbsp;\u2220B&nbsp;are&nbsp;supplementary. \ud83d\udd39 Vertical Angles \ud83d\udd39 Adjacent Angles \ud83d\udcd0 Key Properties to Remember \ud83d\udcdd Example Problems Adjacent angles share a vertex and a side, but no<a class=\"more-link\" href=\"https:\/\/9thclass.deltapublications.in\/index.php\/f-4-find-measures-of-complementary-supplementary-vertical-and-adjacent-angles\/\">Continue reading <span class=\"screen-reader-text\">&#8220;F.4 Find measures of complementary, supplementary, vertical and adjacent angles&#8221;<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"om_disable_all_campaigns":false,"_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"footnotes":""},"class_list":["post-98","page","type-page","status-publish","hentry","entry"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/98","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/comments?post=98"}],"version-history":[{"count":23,"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/98\/revisions"}],"predecessor-version":[{"id":17623,"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/98\/revisions\/17623"}],"wp:attachment":[{"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=98"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}