{"id":96,"date":"2022-04-13T08:19:45","date_gmt":"2022-04-13T08:19:45","guid":{"rendered":"http:\/\/9thclass.deltapublications.in\/?page_id=96"},"modified":"2025-09-02T02:52:57","modified_gmt":"2025-09-02T02:52:57","slug":"f-3-identify-complementary-supplementary-vertical-adjacent-and-congruent-angles","status":"publish","type":"page","link":"https:\/\/9thclass.deltapublications.in\/index.php\/f-3-identify-complementary-supplementary-vertical-adjacent-and-congruent-angles\/","title":{"rendered":"F.3 Identify complementary, supplementary, vertical, adjacent and congruent angles"},"content":{"rendered":"\n<h2 class=\"wp-block-heading has-text-align-center has-text-color\" style=\"color:#00056d;text-transform:uppercase\"><strong>Identify complementary, supplementary, vertical, adjacent and congruent 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\/DAGwiTCOLUc\/fxqz9Inbct9bJyid13r7cQ\/watch?embed\" allowfullscreen=\"allowfullscreen\" allow=\"fullscreen\">\n  <\/iframe>\n<\/div>\n<a href=\"https:&#x2F;&#x2F;www.canva.com&#x2F;design&#x2F;DAGwiTCOLUc&#x2F;fxqz9Inbct9bJyid13r7cQ&#x2F;watch?utm_content=DAGwiTCOLUc&amp;utm_campaign=designshare&amp;utm_medium=embeds&amp;utm_source=link\" target=\"_blank\" rel=\"noopener\">Identify complementary supplementary vertical adjacent and congruent 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>Introduction to Angles<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p>An <strong>angle<\/strong> is formed when two rays share a common endpoint. The rays are called <strong>sides of the angle<\/strong>, and the common endpoint is called the <strong>vertex<\/strong>. Angles are measured in <strong>degrees (\u00b0)<\/strong>.<\/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><strong> Types of Angle Relationships<\/strong><\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h4 class=\"wp-block-heading has-normal-font-size\"><strong>Complementary Angles<\/strong><\/h4>\n\n\n\n<p><strong>Definition:<\/strong> Two angles are <strong>complementary<\/strong> if the sum of their measures is <strong>90\u00b0<\/strong>.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Formula:<\/strong><\/li>\n<\/ul>\n\n\n\n<ul class=\"wp-block-list\">\n<li> Angle&nbsp;A+Angle&nbsp;B=90\u2218<\/li>\n<\/ul>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Example:<\/strong><\/li>\n\n\n\n<li>\u2220P = 30\u00b0, \u2220Q = 60\u00b0 \u2192 \u2220P + \u2220Q = 90\u00b0 \u2192 Complementary<\/li>\n<\/ul>\n\n\n\n<p><strong>Key Tip:<\/strong> Each angle is called the <strong>complement<\/strong> of the other.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h4 class=\"wp-block-heading has-normal-font-size\"><strong> Supplementary Angles<\/strong><\/h4>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Definition:<\/strong> Two angles are <strong>supplementary<\/strong> if the sum of their measures is <strong>180\u00b0<\/strong>.<\/li>\n\n\n\n<li><strong>Formula:<\/strong> <\/li>\n\n\n\n<li>Angle&nbsp;A+Angle&nbsp;B=180<sup>\u2218<\/sup><\/li>\n\n\n\n<li><strong>Example:<\/strong><br>\u2220X = 110\u00b0, \u2220Y = 70\u00b0 \u2192 \u2220X + \u2220Y = 180\u00b0 \u2192 Supplementary<\/li>\n\n\n\n<li><strong>Key Tip:<\/strong> Often seen in a <strong>straight line<\/strong>.<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h4 class=\"wp-block-heading has-normal-font-size\"><strong> Vertical Angles (Opposite Angles)<\/strong><\/h4>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Definition:<\/strong> <strong>Vertical angles<\/strong> are formed when <strong>two lines intersect<\/strong>, creating two pairs of opposite angles.<\/li>\n\n\n\n<li><strong>Property:<\/strong> Vertical angles are always <strong>equal<\/strong>.<\/li>\n\n\n\n<li><strong>Example:<\/strong><br>If \u22201 = 50\u00b0, then the angle opposite to it \u22202 = 50\u00b0<\/li>\n\n\n\n<li><strong>Key Tip:<\/strong> Also called <strong>opposite angles<\/strong>.<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h4 class=\"wp-block-heading has-normal-font-size\"><strong> Adjacent Angles<\/strong><\/h4>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Definition:<\/strong> <strong>Adjacent angles<\/strong> share a <strong>common vertex<\/strong> and a <strong>common side<\/strong>, but do not overlap.<\/li>\n\n\n\n<li><strong>Property:<\/strong> The sum of adjacent angles may or may not be 90\u00b0 or 180\u00b0 (depends on the situation).<\/li>\n\n\n\n<li><strong>Example:<\/strong><br>\u2220A and \u2220B share a vertex O and a common side \u2192 Adjacent<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h4 class=\"wp-block-heading has-normal-font-size\"><strong> Congruent Angles<\/strong><\/h4>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Definition:<\/strong> <strong>Congruent angles<\/strong> have the <strong>same measure<\/strong>.<\/li>\n\n\n\n<li><strong>Symbol:<\/strong> \u2220A \u2245 \u2220B<\/li>\n\n\n\n<li><strong>Example:<\/strong><br>\u2220P = 40\u00b0, \u2220Q = 40\u00b0 \u2192 \u2220P \u2245 \u2220Q<\/li>\n\n\n\n<li><strong>Key Tip:<\/strong> Congruent angles can be <strong>anywhere<\/strong>, not necessarily 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><strong>Quick Reference Table<\/strong><\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><thead><tr><th>Angle Type<\/th><th>Definition<\/th><th>Formula \/ Property<\/th><th>Example<\/th><\/tr><\/thead><tbody><tr><td>Complementary<\/td><td>Sum = 90\u00b0<\/td><td>A + B = 90\u00b0<\/td><td>30\u00b0 + 60\u00b0<\/td><\/tr><tr><td>Supplementary<\/td><td>Sum = 180\u00b0<\/td><td>A + B = 180\u00b0<\/td><td>110\u00b0 + 70\u00b0<\/td><\/tr><tr><td>Vertical<\/td><td>Opposite angles when lines intersect<\/td><td>\u22201 = \u22202<\/td><td>50\u00b0 and opposite 50\u00b0<\/td><\/tr><tr><td>Adjacent<\/td><td>Share a vertex and a side<\/td><td>May vary<\/td><td>\u2220A and \u2220B share vertex O<\/td><\/tr><tr><td>Congruent<\/td><td>Same measure<\/td><td>\u2220A \u2245 \u2220B<\/td><td>40\u00b0 \u2245 40\u00b0<\/td><\/tr><\/tbody><\/table><\/figure>\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><strong><strong> Tips to Identify<\/strong><\/strong><\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Look at the sum<\/strong> \u2192 90\u00b0 (complementary), 180\u00b0 (supplementary).<\/li>\n\n\n\n<li><strong>Look at the position<\/strong> \u2192 Opposite angles (vertical), side by side (adjacent).<\/li>\n\n\n\n<li><strong>Compare measures<\/strong> \u2192 Same measure \u2192 Congruent.<\/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><strong><strong><strong> Practice Questions<\/strong><\/strong><\/strong><\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<ol class=\"wp-block-list\">\n<li>Find the complement of 35\u00b0.<\/li>\n\n\n\n<li>Two angles are supplementary. If one angle is 120\u00b0, find the other.<\/li>\n\n\n\n<li>Identify the vertical angles in an intersecting lines diagram.<\/li>\n\n\n\n<li>Find which angles are adjacent in the given figure.<\/li>\n\n\n\n<li>Check if two angles measuring 55\u00b0 and 55\u00b0 are congruent.<\/li>\n<\/ol>\n\n\n\n<div class=\"wp-block-group has-background has-large-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-1.png\" alt=\"\" class=\"wp-image-2971\" style=\"width:250px;height:200px\" srcset=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2022\/10\/DGF-is-adjacent-to-BGD.-removebg-preview-1.png 500w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2022\/10\/DGF-is-adjacent-to-BGD.-removebg-preview-1-300x240.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:#caedff\"><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-1.png\" alt=\"\" class=\"wp-image-2975\" style=\"width:250px;height:200px\" srcset=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2022\/10\/DGF-is-adjacent-to-BGD.-3-removebg-preview-1.png 500w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2022\/10\/DGF-is-adjacent-to-BGD.-3-removebg-preview-1-300x240.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<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>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-1.png\" alt=\"\" class=\"wp-image-2979\" style=\"width:250px;height:200px\" srcset=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2022\/10\/DGF-is-adjacent-to-BGD.-4-removebg-preview-1.png 500w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2022\/10\/DGF-is-adjacent-to-BGD.-4-removebg-preview-1-300x240.png 300w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure><\/div><\/div><\/div>\n\n\n\n<p class=\"has-normal-font-size\">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.png\" alt=\"\" class=\"wp-image-2981\" style=\"width:250px;height:200px\" srcset=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2022\/10\/DGF-is-adjacent-to-BGD.-2-removebg-preview.png 500w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2022\/10\/DGF-is-adjacent-to-BGD.-2-removebg-preview-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:#e1dffc\"><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>Which angles are congruent to \u2220<em>EFA<\/em>? Select all that apply.<\/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-6.png\" alt=\"\" class=\"wp-image-7395\" style=\"width:218px;height:219px\" srcset=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Untitled-design-6.png 500w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Untitled-design-6-300x300.png 300w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Untitled-design-6-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure><\/div>\n\n\n<ul class=\"wp-block-list\">\n<li>\u2220CFD<\/li>\n\n\n\n<li>\u2220CFE<\/li>\n\n\n\n<li>\u2220AFC<\/li>\n\n\n\n<li>\u2220AFB<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<p>Look at&nbsp;\u2220<strong><em>EFA<\/em>&nbsp;<\/strong>and&nbsp;\u2220<\/p>\n\n\n\n<p>\u2220<strong>AFB <\/strong>and \u2220<strong>EFA <\/strong>are congruent. They both measure 90\u00b0. <\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background has-normal-font-size\" style=\"background-color:#ffdddd\"><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 has-normal-font-size\" style=\"color:#b00012\"><strong>What is an angle that is adjacent to&nbsp;\u22201?<\/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-5.png\" alt=\"\" class=\"wp-image-8435\" style=\"width:215px;height:215px\" srcset=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/Untitled-design-5.png 500w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/Untitled-design-5-300x300.png 300w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/Untitled-design-5-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure><\/div>\n\n\n<p>\u2220 ___<\/p>\n<\/div><\/div>\n\n\n\n<p>Look at&nbsp;\u22201:<\/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__6_-removebg-preview-1.png\" alt=\"\" class=\"wp-image-8438\" style=\"width:231px;height:231px\" srcset=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/Untitled_design__6_-removebg-preview-1.png 500w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/Untitled_design__6_-removebg-preview-1-300x300.png 300w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/Untitled_design__6_-removebg-preview-1-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure><\/div>\n\n\n<p>One angle that is adjacent to \u22201 is \u22202.<\/p>\n\n\n\n<p>The other angle that is adjacent to \u22201 is \u22206.<\/p>\n\n\n\n<p>Angles adjacent to \u22201 include \u22202 and \u22206.<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background has-normal-font-size\" style=\"background-color:#d1f7d9\"><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 has-normal-font-size\" style=\"color:#b00012\"><strong>Which angle is congruent to&nbsp;\u22202 ?<\/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-7-1.png\" alt=\"\" class=\"wp-image-8439\" style=\"width:209px;height:209px\" srcset=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/Untitled-design-7-1.png 500w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/Untitled-design-7-1-300x300.png 300w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/Untitled-design-7-1-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure><\/div>\n\n\n<ul class=\"wp-block-list\">\n<li>\u22204<\/li>\n\n\n\n<li>\u22206<\/li>\n\n\n\n<li>\u22205<\/li>\n\n\n\n<li>\u22203<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<p>Look at&nbsp;\u22202&nbsp;and&nbsp;\u22205:<\/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__8_-removebg-preview.png\" alt=\"\" class=\"wp-image-8441\" style=\"aspect-ratio:1;width:296px;height:auto\" srcset=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/Untitled_design__8_-removebg-preview.png 500w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/Untitled_design__8_-removebg-preview-300x300.png 300w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/Untitled_design__8_-removebg-preview-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure><\/div>\n\n\n<p>\u22205 and \u22202 are congruent. They are vertical angles, which have the same measure.<\/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\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-32.png\" alt=\"\" class=\"wp-image-7407\" srcset=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-32.png 500w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-32-300x300.png 300w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-32-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/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\/96212\/064\/794\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-35.png\" alt=\"\" class=\"wp-image-7408\" srcset=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-35.png 500w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-35-300x300.png 300w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-35-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Identify complementary, supplementary, vertical, adjacent and congruent angles Identify complementary supplementary vertical adjacent and congruent angles by Delta publications Key Notes: Introduction to Angles An angle is formed when two rays share a common endpoint. The rays are called sides of the angle, and the common endpoint is called the vertex. Angles are measured in<a class=\"more-link\" href=\"https:\/\/9thclass.deltapublications.in\/index.php\/f-3-identify-complementary-supplementary-vertical-adjacent-and-congruent-angles\/\">Continue reading <span class=\"screen-reader-text\">&#8220;F.3 Identify complementary, supplementary, vertical, adjacent and congruent 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-96","page","type-page","status-publish","hentry","entry"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/96","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=96"}],"version-history":[{"count":30,"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/96\/revisions"}],"predecessor-version":[{"id":17622,"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/96\/revisions\/17622"}],"wp:attachment":[{"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=96"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}