{"id":385,"date":"2022-04-12T10:25:14","date_gmt":"2022-04-12T10:25:14","guid":{"rendered":"http:\/\/7thclass.deltapublications.in\/?page_id=385"},"modified":"2024-10-23T15:26:44","modified_gmt":"2024-10-23T15:26:44","slug":"r-13-identify-complementary-supplementary-vertical-adjacent-and-congruent-angles","status":"publish","type":"page","link":"https:\/\/7thclass.deltapublications.in\/index.php\/r-13-identify-complementary-supplementary-vertical-adjacent-and-congruent-angles\/","title":{"rendered":"R.13 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<p class=\"has-text-color has-huge-font-size\" style=\"color:#74008b\"><strong>Key notes:<\/strong><\/p>\n\n\n\n<h3 class=\"wp-block-heading has-text-color has-large-font-size\" style=\"color:#000060\">1. <strong>Angles and Their Types<\/strong><\/h3>\n\n\n\n<h4 class=\"wp-block-heading has-large-font-size\">a. <strong>Complementary Angles<\/strong><\/h4>\n\n\n\n<ul class=\"has-large-font-size wp-block-list\">\n<li><strong>Definition:<\/strong> Two angles are complementary if their measures add up to 90 degrees.<\/li>\n\n\n\n<li><strong>Example:<\/strong> If one angle measures 30 degrees, the complementary angle measures 60 degrees (30\u00b0 + 60\u00b0 = 90\u00b0).<\/li>\n<\/ul>\n\n\n\n<h4 class=\"wp-block-heading has-large-font-size\">b. <strong>Supplementary Angles<\/strong><\/h4>\n\n\n\n<ul class=\"has-large-font-size wp-block-list\">\n<li><strong>Definition:<\/strong> Two angles are supplementary if their measures add up to 180 degrees.<\/li>\n\n\n\n<li><strong>Example:<\/strong> If one angle measures 110 degrees, the supplementary angle measures 70 degrees (110\u00b0 + 70\u00b0 = 180\u00b0).<\/li>\n<\/ul>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"392\" height=\"129\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2024\/10\/image-31.png\" alt=\"\" class=\"wp-image-14561\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2024\/10\/image-31.png 392w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2024\/10\/image-31-300x99.png 300w\" sizes=\"auto, (max-width: 392px) 100vw, 392px\" \/><\/figure><\/div>\n\n\n<h4 class=\"wp-block-heading has-large-font-size\">c. <strong>Vertical Angles<\/strong><\/h4>\n\n\n\n<ul class=\"has-large-font-size wp-block-list\">\n<li><strong>Definition:<\/strong> Vertical angles are the angles opposite each other when two lines intersect. They are always equal.<\/li>\n\n\n\n<li><strong>Example:<\/strong> If two lines intersect and form angles of 45 degrees and 45 degrees, these angles are vertical angles.<\/li>\n<\/ul>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"341\" height=\"148\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2024\/10\/image-32.png\" alt=\"\" class=\"wp-image-14563\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2024\/10\/image-32.png 341w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2024\/10\/image-32-300x130.png 300w\" sizes=\"auto, (max-width: 341px) 100vw, 341px\" \/><\/figure><\/div>\n\n\n<h4 class=\"wp-block-heading has-large-font-size\">d. <strong>Adjacent Angles<\/strong><\/h4>\n\n\n\n<ul class=\"has-large-font-size wp-block-list\">\n<li><strong>Definition:<\/strong> Adjacent angles are two angles that share a common vertex and a common side but do not overlap.<\/li>\n\n\n\n<li><strong>Example:<\/strong> When two angles of 30 degrees and 50 degrees share a side, they are adjacent angles.<\/li>\n<\/ul>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"222\" height=\"227\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2024\/10\/image-33.png\" alt=\"\" class=\"wp-image-14564\"\/><\/figure><\/div>\n\n\n<h4 class=\"wp-block-heading has-large-font-size\">e. <strong>Congruent Angles<\/strong><\/h4>\n\n\n\n<ul class=\"has-large-font-size wp-block-list\">\n<li><strong>Definition:<\/strong> Congruent angles are angles that have the same measure.<\/li>\n\n\n\n<li><strong>Example:<\/strong> If two angles measure 70 degrees each, they are congruent angles.<\/li>\n<\/ul>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"200\" height=\"190\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2024\/10\/image-34.png\" alt=\"\" class=\"wp-image-14565\" style=\"aspect-ratio:1.0526315789473684;width:326px;height:auto\"\/><\/figure><\/div>\n\n\n<div class=\"wp-block-group has-large-font-size\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\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\" style=\"background-color:#cbdbfc\"><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-flow wp-block-group-is-layout-flow\">\n<p class=\"has-text-color\" style=\"color:#b00012\"><strong>\ud83d\udce2 Which angle is adjacent to&nbsp;\u2220<em>CFD<\/em>?<\/strong><\/p>\n\n\n<div class=\"wp-block-image is-resized\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled-design-19.png\" alt=\"\" class=\"wp-image-4861\" style=\"aspect-ratio:1;width:382px;height:auto\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled-design-19.png 500w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled-design-19-300x300.png 300w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled-design-19-150x150.png 150w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled-design-19-400x400.png 400w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure><\/div>\n\n\n<div class=\"wp-block-group\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<ul class=\"wp-block-list\">\n<li>\u2220BFD <\/li>\n\n\n\n<li>\u2220DFA <\/li>\n\n\n\n<li>\u2220EFA <\/li>\n\n\n\n<li>\u2220AFB<\/li>\n<\/ul>\n<\/div><\/div>\n<\/div><\/div>\n\n\n\n<p>Look at&nbsp;\u2220<em>CFD<\/em>&nbsp;and&nbsp;\u2220<em>DFA<\/em>:<\/p>\n\n\n<div class=\"wp-block-image is-resized\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled_design__1_-removebg-preview-10.png\" alt=\"\" class=\"wp-image-4862\" style=\"aspect-ratio:1;width:402px;height:auto\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled_design__1_-removebg-preview-10.png 500w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled_design__1_-removebg-preview-10-300x300.png 300w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled_design__1_-removebg-preview-10-150x150.png 150w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled_design__1_-removebg-preview-10-400x400.png 400w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure><\/div>\n\n\n<p>\u2220DFA is adjacent to \u2220CFD.<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background\" style=\"background-color:#ddfde1\"><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-flow wp-block-group-is-layout-flow\">\n<p class=\"has-text-color\" style=\"color:#b00012\">\ud83d\udce2 <strong>Which angle is complementary to&nbsp;\u22202?<\/strong><\/p>\n\n\n<div class=\"wp-block-image is-resized\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled-design-2-6.png\" alt=\"\" class=\"wp-image-4863\" style=\"aspect-ratio:1;width:384px;height:auto\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled-design-2-6.png 500w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled-design-2-6-300x300.png 300w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled-design-2-6-150x150.png 150w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled-design-2-6-400x400.png 400w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure><\/div>\n\n\n<ul class=\"wp-block-list\">\n<li>\u22203<\/li>\n\n\n\n<li>\u22206<\/li>\n\n\n\n<li>\u22204<\/li>\n\n\n\n<li>\u22205<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<p>Look at&nbsp;\u22202&nbsp;and&nbsp;\u22204:<\/p>\n\n\n<div class=\"wp-block-image is-resized\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled_design__3_-removebg-preview-5.png\" alt=\"\" class=\"wp-image-4864\" style=\"aspect-ratio:1;width:400px;height:auto\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled_design__3_-removebg-preview-5.png 500w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled_design__3_-removebg-preview-5-300x300.png 300w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled_design__3_-removebg-preview-5-150x150.png 150w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled_design__3_-removebg-preview-5-400x400.png 400w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure><\/div>\n\n\n<p>\u22204 is complementary to \u22202. First, notice that \u22202 and \u22201 are complementary. Along with the right angle, they form a straight line. The straight line measures 180\u00b0 and the right angle measures 90\u00b0. That leaves another 90\u00b0, so \u22202 and \u22201 have measures that add up to 90\u00b0. Next, notice that \u22201 and \u22204 are vertical angles. That means they have the same measure. Since \u22202 and \u22201 are complementary, \u22202 and \u22204 are also complementary. Their angles add up to 90\u00b0.<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background\" style=\"background-color:#f9cdf6\"><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-flow wp-block-group-is-layout-flow\">\n<p class=\"has-text-color\" style=\"color:#b00012\">\ud83d\udce2<strong> Which angle is complementary to&nbsp;\u22203?<\/strong><\/p>\n\n\n<div class=\"wp-block-image is-resized\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled-design-20.png\" alt=\"\" class=\"wp-image-4865\" style=\"aspect-ratio:1;width:360px;height:auto\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled-design-20.png 500w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled-design-20-300x300.png 300w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled-design-20-150x150.png 150w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled-design-20-400x400.png 400w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure><\/div>\n\n\n<ul class=\"wp-block-list\">\n<li>\u22205<\/li>\n\n\n\n<li>\u22202<\/li>\n\n\n\n<li>\u22204<\/li>\n\n\n\n<li>\u22206<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<p>Look at&nbsp;\u22203&nbsp;and&nbsp;\u22204:<\/p>\n\n\n<div class=\"wp-block-image is-resized\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled_design__1_-removebg-preview-11.png\" alt=\"\" class=\"wp-image-4866\" style=\"aspect-ratio:1;width:416px;height:auto\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled_design__1_-removebg-preview-11.png 500w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled_design__1_-removebg-preview-11-300x300.png 300w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled_design__1_-removebg-preview-11-150x150.png 150w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled_design__1_-removebg-preview-11-400x400.png 400w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure><\/div>\n\n\n<p>\u22204 is complementary to \u22203. Along with the right angle, they form a straight line. The straight line measures 180\u00b0 and the right angle measures 90\u00b0. That leaves another 90\u00b0, so \u22203 and \u22204 have measures that add up to 90\u00b0.<\/p>\n<\/div><\/div>\n\n\n\n<p class=\"has-text-color has-large-font-size\" style=\"color:#d90000\"><strong>Let&#8217;s practice!\ud83d\udd8a\ufe0f<\/strong><\/p>\n<\/div><\/div>\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\/79933\/158\/175\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-96.png\" alt=\"\" class=\"wp-image-6777\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-96.png 500w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-96-300x300.png 300w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-96-150x150.png 150w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-96-400x400.png 400w\" 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\/79941\/739\/434\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-97.png\" alt=\"\" class=\"wp-image-6778\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-97.png 500w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-97-300x300.png 300w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-97-150x150.png 150w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-97-400x400.png 400w\" 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 Key notes: 1. Angles and Their Types a. Complementary Angles b. Supplementary Angles c. Vertical Angles d. Adjacent Angles e. Congruent Angles Learn with an example \ud83d\udce2 Which angle is adjacent to&nbsp;\u2220CFD? Look at&nbsp;\u2220CFD&nbsp;and&nbsp;\u2220DFA: \u2220DFA is adjacent to \u2220CFD. \ud83d\udce2 Which angle is complementary to&nbsp;\u22202? Look at&nbsp;\u22202&nbsp;and&nbsp;\u22204:<a class=\"more-link\" href=\"https:\/\/7thclass.deltapublications.in\/index.php\/r-13-identify-complementary-supplementary-vertical-adjacent-and-congruent-angles\/\">Continue reading <span class=\"screen-reader-text\">&#8220;R.13 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,"footnotes":""},"class_list":["post-385","page","type-page","status-publish","hentry","entry"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/385","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/comments?post=385"}],"version-history":[{"count":15,"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/385\/revisions"}],"predecessor-version":[{"id":14566,"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/385\/revisions\/14566"}],"wp:attachment":[{"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=385"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}