{"id":387,"date":"2022-04-12T10:25:31","date_gmt":"2022-04-12T10:25:31","guid":{"rendered":"http:\/\/7thclass.deltapublications.in\/?page_id=387"},"modified":"2024-10-23T15:29:47","modified_gmt":"2024-10-23T15:29:47","slug":"r-14-find-measures-of-complementary-supplementary-vertical-and-adjacent-angles","status":"publish","type":"page","link":"https:\/\/7thclass.deltapublications.in\/index.php\/r-14-find-measures-of-complementary-supplementary-vertical-and-adjacent-angles\/","title":{"rendered":"R.14 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-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>Complementary Angles<\/strong><\/h3>\n\n\n\n<ul class=\"has-large-font-size wp-block-list\">\n<li><strong>Definition<\/strong>: Two angles are complementary if the sum of their measures equals 90 degrees.<\/li>\n\n\n\n<li><strong>Example<\/strong>: If one angle measures 30 degrees, the other angle must measure 90\u221230=60 degrees.<\/li>\n\n\n\n<li><strong>Visualization<\/strong>: Often represented as two angles that form a right angle (90 degrees) when combined.<\/li>\n<\/ul>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"225\" height=\"225\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2024\/10\/image-35.png\" alt=\"\" class=\"wp-image-14567\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2024\/10\/image-35.png 225w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2024\/10\/image-35-150x150.png 150w\" sizes=\"auto, (max-width: 225px) 100vw, 225px\" \/><\/figure><\/div>\n\n\n<h3 class=\"wp-block-heading has-text-color has-large-font-size\" style=\"color:#000060\">2. <strong>Supplementary Angles<\/strong><\/h3>\n\n\n\n<ul class=\"has-large-font-size wp-block-list\">\n<li><strong>Definition<\/strong>: Two angles are supplementary if the sum of their measures equals 180 degrees.<\/li>\n\n\n\n<li><strong>Example<\/strong>: If one angle measures 110 degrees, the other angle must measure 180-110=70 degrees.<\/li>\n\n\n\n<li><strong>Visualization<\/strong>: Often represented as two angles that form a straight line (180 degrees) when combined.<\/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=\"299\" height=\"168\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2024\/10\/image-36.png\" alt=\"\" class=\"wp-image-14568\" style=\"aspect-ratio:1.7797619047619047;width:447px;height:auto\"\/><\/figure><\/div>\n\n\n<h3 class=\"wp-block-heading has-text-color has-large-font-size\" style=\"color:#000060\">3. <strong>Vertical Angles<\/strong><\/h3>\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 in measure.<\/li>\n\n\n\n<li><strong>Example<\/strong>: If two lines intersect and one angle measures 50 degrees, the angle directly opposite it also measures 50 degrees.<\/li>\n\n\n\n<li><strong>Visualization<\/strong>: Formed by the &#8220;X&#8221; shape created by two intersecting lines.<\/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=\"341\" height=\"148\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2024\/10\/image-37.png\" alt=\"\" class=\"wp-image-14570\" style=\"aspect-ratio:2.304054054054054;width:401px;height:auto\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2024\/10\/image-37.png 341w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2024\/10\/image-37-300x130.png 300w\" sizes=\"auto, (max-width: 341px) 100vw, 341px\" \/><\/figure><\/div>\n\n\n<h3 class=\"wp-block-heading has-text-color has-large-font-size\" style=\"color:#000060\">4. <strong>Adjacent Angles<\/strong><\/h3>\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 side and a common vertex but do not overlap.<\/li>\n\n\n\n<li><strong>Example<\/strong>: In a shape with four angles, if one angle is 45 degrees and shares a side with another angle, they are adjacent.<\/li>\n\n\n\n<li><strong>Visualization<\/strong>: Often seen in polygons, such as quadrilaterals, where angles are next to each other.<\/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=\"222\" height=\"227\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2024\/10\/image-38.png\" alt=\"\" class=\"wp-image-14571\" style=\"aspect-ratio:0.9779735682819384;width:284px;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:#f0f9d1\"><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>What is the value of&nbsp;<em>h<\/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-2-7.png\" alt=\"\" class=\"wp-image-4869\" style=\"aspect-ratio:1;width:422px;height:auto\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled-design-2-7.png 500w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled-design-2-7-300x300.png 300w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled-design-2-7-150x150.png 150w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled-design-2-7-400x400.png 400w\" 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 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_-removebg-preview-6.png\" alt=\"\" class=\"wp-image-4870\" style=\"aspect-ratio:1;width:320px;height:auto\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled_design__2_-removebg-preview-6.png 500w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled_design__2_-removebg-preview-6-300x300.png 300w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled_design__2_-removebg-preview-6-150x150.png 150w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled_design__2_-removebg-preview-6-400x400.png 400w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure><\/div>\n\n\n<p>Add the measures of the adjacent angles and set the sum equal to 70\u00b0. Then solve for h.<\/p>\n\n\n\n<p>30\u00b0 + h = 70\u00b0<\/p>\n\n\n\n<p>h = 70\u00b0 \u2212 30\u00b0<\/p>\n\n\n\n<p>h = 40\u00b0<\/p>\n\n\n\n<p>So, h = 40\u00b0.<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background\" style=\"background-color:#d7ddfe\"><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>What is the value of&nbsp;<em>q<\/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-3-5.png\" alt=\"\" class=\"wp-image-4871\" style=\"aspect-ratio:1;width:312px;height:auto\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled-design-3-5.png 500w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled-design-3-5-300x300.png 300w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled-design-3-5-150x150.png 150w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled-design-3-5-400x400.png 400w\" 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 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-6.png\" alt=\"\" class=\"wp-image-4872\" style=\"aspect-ratio:1;width:320px;height:auto\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled_design__3_-removebg-preview-6.png 500w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled_design__3_-removebg-preview-6-300x300.png 300w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled_design__3_-removebg-preview-6-150x150.png 150w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled_design__3_-removebg-preview-6-400x400.png 400w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure><\/div>\n\n\n<p>Add the measures of the adjacent angles.<\/p>\n\n\n\n<p>q = 30\u00b0 + 50\u00b0<\/p>\n\n\n\n<p>q = 80\u00b0<\/p>\n\n\n\n<p>So, q = 80\u00b0.<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background\" style=\"background-color:#f7f1de\"><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>What is the value of j?<\/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-4-8.png\" alt=\"\" class=\"wp-image-4873\" style=\"aspect-ratio:1;width:350px;height:auto\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled-design-4-8.png 500w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled-design-4-8-300x300.png 300w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled-design-4-8-150x150.png 150w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled-design-4-8-400x400.png 400w\" 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 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__5_-removebg-preview-3.png\" alt=\"\" class=\"wp-image-4874\" style=\"aspect-ratio:1;width:390px;height:auto\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled_design__5_-removebg-preview-3.png 500w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled_design__5_-removebg-preview-3-300x300.png 300w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled_design__5_-removebg-preview-3-150x150.png 150w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled_design__5_-removebg-preview-3-400x400.png 400w\" 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, j = 70\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\/79938\/587\/461\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/Worksheet-1-2-51-1.png\" alt=\"\" class=\"wp-image-11337\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/Worksheet-1-2-51-1.png 500w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/Worksheet-1-2-51-1-300x300.png 300w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/Worksheet-1-2-51-1-150x150.png 150w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/Worksheet-1-2-51-1-400x400.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\/79944\/117\/508\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/Worksheet-1-1-1-54.png\" alt=\"\" class=\"wp-image-11338\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/Worksheet-1-1-1-54.png 500w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/Worksheet-1-1-1-54-300x300.png 300w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/Worksheet-1-1-1-54-150x150.png 150w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/Worksheet-1-1-1-54-400x400.png 400w\" 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: 1. Complementary Angles 2. Supplementary Angles 3. Vertical Angles 4. Adjacent Angles Learn with an example \ud83d\udce2 What is the value of&nbsp;h? _______\u00b0 Add the measures of the adjacent angles and set the sum equal to 70\u00b0. Then solve for h. 30\u00b0 + h<a class=\"more-link\" href=\"https:\/\/7thclass.deltapublications.in\/index.php\/r-14-find-measures-of-complementary-supplementary-vertical-and-adjacent-angles\/\">Continue reading <span class=\"screen-reader-text\">&#8220;R.14 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,"footnotes":""},"class_list":["post-387","page","type-page","status-publish","hentry","entry"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/387","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=387"}],"version-history":[{"count":15,"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/387\/revisions"}],"predecessor-version":[{"id":14572,"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/387\/revisions\/14572"}],"wp:attachment":[{"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=387"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}