{"id":298,"date":"2022-04-13T04:47:19","date_gmt":"2022-04-13T04:47:19","guid":{"rendered":"http:\/\/8thclass.deltapublications.in\/?page_id=298"},"modified":"2024-11-23T08:55:08","modified_gmt":"2024-11-23T08:55:08","slug":"o-13-find-measures-of-complementary-supplementary-vertical-and-adjacent-angles","status":"publish","type":"page","link":"https:\/\/8thclass.deltapublications.in\/index.php\/o-13-find-measures-of-complementary-supplementary-vertical-and-adjacent-angles\/","title":{"rendered":"O.13 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<p class=\"has-text-color has-link-color has-huge-font-size wp-elements-4d4696560822e7cb72ec4be90d4370b1\" style=\"color:#74008b\">Key Notes:<\/p>\n\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>Complementary angles have measures that add to 90\u00b0.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled-design-4-3.png\" alt=\"\" class=\"wp-image-5072\" srcset=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled-design-4-3.png 500w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled-design-4-3-300x300.png 300w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled-design-4-3-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure>\n\n\n\n<p>\u2220ABC and&nbsp;\u2220 CBD are complementary angles.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Complementary angles have measures that add to 90\u00b0. When a right angle is divided into two adjacent angles, complementary angles are formed.<\/li>\n<\/ul>\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<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background\" style=\"background-color:#e2f3d6\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\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<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 has-link-color wp-elements-ad90d338e377a47b42d9b0d67746df0d\" style=\"color:#b00012\"><strong>The measure of an angle is 89\u00b0. What is the measure of its complementary angle?&#8212;&#8212;&#8211;<\/strong><\/p>\n<\/div><\/div>\n\n\n\n<p>Since the angles are complementary, their measures must add to 90\u00b0. Set up an equation and solve for&nbsp;<em>n<\/em>.<\/p>\n\n\n\n<p>n+89\u00b0=90\u00b0<\/p>\n\n\n\n<p>n+89\u00b0-89\u00b0=90\u00b0-89\u00b0<\/p>\n\n\n\n<p>n=1\u00b0<\/p>\n\n\n\n<p>The measure of the complementary angle is 1\u00b0.<\/p>\n<\/div><\/div>\n<\/div><\/div>\n\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<div class=\"wp-block-group has-background\" style=\"background-color:#e6c5c5\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\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<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 has-link-color wp-elements-a513e77c9e9f1f8ea988f85ca5450f8d\" style=\"color:#b00012\"><strong>What is the value of&nbsp;<em>t<\/em>?<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"440\" src=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/11\/13-1.png\" alt=\"\" class=\"wp-image-13297\" srcset=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/11\/13-1.png 500w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/11\/13-1-300x264.png 300w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure>\n<\/div><\/div>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled_design__7_-removebg-preview-3.png\" alt=\"\" class=\"wp-image-5077\" srcset=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled_design__7_-removebg-preview-3.png 500w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled_design__7_-removebg-preview-3-300x300.png 300w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled_design__7_-removebg-preview-3-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure>\n\n\n\n<p>Add the measures of the complementary angles and set the sum equal to 90\u00b0. Then solve for&nbsp;<em>t<\/em>.<\/p>\n\n\n\n<p>t+57\u00b0=90\u00b0<\/p>\n\n\n\n<p>t=90\u00b0-57\u00b0<\/p>\n\n\n\n<p>t=33\u00b0<\/p>\n\n\n\n<p> so ,t=33\u00b0<\/p>\n<\/div><\/div>\n<\/div><\/div>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background\" style=\"background-color:#e5cdcd\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\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<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 has-link-color wp-elements-a50c144fbe655f0cd1122c34ea8351c2\" style=\"color:#b00012\"><strong>What is the value of&nbsp;<em>r<\/em>?<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled-design-8-2.png\" alt=\"\" class=\"wp-image-5083\" srcset=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled-design-8-2.png 500w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled-design-8-2-300x300.png 300w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled-design-8-2-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure>\n<\/div><\/div>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled_design__9_-removebg-preview-1.png\" alt=\"\" class=\"wp-image-5084\" srcset=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled_design__9_-removebg-preview-1.png 500w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled_design__9_-removebg-preview-1-300x300.png 300w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled_design__9_-removebg-preview-1-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure>\n\n\n\n<p>Add the measures of the supplementary angles and set the sum equal to 180\u00b0. Then solve for&nbsp;<em>r<\/em>.<\/p>\n\n\n\n<p>r+44\u00b0=180\u00b0<\/p>\n\n\n\n<p>r=180\u00b0-44\u00b0<\/p>\n\n\n\n<p>t=136\u00b0<\/p>\n\n\n\n<p> so ,t=136\u00b0<\/p>\n<\/div><\/div>\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:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-54.png\" alt=\"\" class=\"wp-image-8605\" srcset=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-54.png 500w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-54-300x300.png 300w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-54-150x150.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\/82520\/406\/715\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-54.png\" alt=\"\" class=\"wp-image-8604\" srcset=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-54.png 500w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-54-300x300.png 300w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-54-150x150.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 Key Notes: Complementary angles have measures that add to 90\u00b0. \u2220ABC and&nbsp;\u2220 CBD are complementary angles. Learn with an example The measure of an angle is 89\u00b0. What is the measure of its complementary angle?&#8212;&#8212;&#8211; Since the angles are complementary, their measures must add to 90\u00b0.<a class=\"more-link\" href=\"https:\/\/8thclass.deltapublications.in\/index.php\/o-13-find-measures-of-complementary-supplementary-vertical-and-adjacent-angles\/\">Continue reading <span class=\"screen-reader-text\">&#8220;O.13 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-298","page","type-page","status-publish","hentry","entry"],"aioseo_notices":[],"_hostinger_reach_plugin_has_subscription_block":false,"_hostinger_reach_plugin_is_elementor":false,"_links":{"self":[{"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/298","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/comments?post=298"}],"version-history":[{"count":15,"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/298\/revisions"}],"predecessor-version":[{"id":18835,"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/298\/revisions\/18835"}],"wp:attachment":[{"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=298"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}