{"id":106,"date":"2022-04-13T08:21:26","date_gmt":"2022-04-13T08:21:26","guid":{"rendered":"http:\/\/9thclass.deltapublications.in\/?page_id=106"},"modified":"2025-10-29T11:35:54","modified_gmt":"2025-10-29T11:35:54","slug":"g-3-exterior-angle-property","status":"publish","type":"page","link":"https:\/\/9thclass.deltapublications.in\/index.php\/g-3-exterior-angle-property\/","title":{"rendered":"G.3 Exterior angle property"},"content":{"rendered":"\n<h2 class=\"wp-block-heading has-text-align-center has-text-color\" style=\"color:#00056d;text-transform:uppercase\"><strong>Exterior angle property<\/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\/DAG3K2opPPw\/BNurl00ZLfbkFohhk--jDw\/watch?embed\" allowfullscreen=\"allowfullscreen\" allow=\"fullscreen\">\n  <\/iframe>\n<\/div>\n<a href=\"https:&#x2F;&#x2F;www.canva.com&#x2F;design&#x2F;DAG3K2opPPw&#x2F;BNurl00ZLfbkFohhk--jDw&#x2F;watch?utm_content=DAG3K2opPPw&amp;utm_campaign=designshare&amp;utm_medium=embeds&amp;utm_source=link\" target=\"_blank\" rel=\"noopener\">Design<\/a> by Delta publications\n<\/div>\n<\/div>\n\n\n\n<p class=\"has-text-color has-huge-font-size\" style=\"color:#74008b;text-transform:capitalize\"><strong>key notes :<\/strong><\/p>\n\n\n\n<h2 class=\"wp-block-heading has-text-color has-link-color has-large-font-size wp-elements-e2dddb8093448e93add5fec670b74c6d\" style=\"color:#741818\">\ud83c\udf1f <strong>Exterior Angle Property<\/strong><\/h2>\n\n\n\n<h3 class=\"wp-block-heading has-text-color has-link-color has-large-font-size wp-elements-d0f58a4eee46341b8aacdc096130008a\" style=\"color:#000060\">\ud83e\uddee <strong>What is an Exterior Angle?<\/strong><\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>An <strong>exterior angle<\/strong> of a triangle is the angle formed <strong>outside the triangle<\/strong> when one side of the triangle is <strong>extended<\/strong>.<br>\ud83d\udc49 Example: If side <strong>BC<\/strong> of triangle <strong>ABC<\/strong> is extended to point <strong>D<\/strong>, then <strong>\u2220ACD<\/strong> is an <strong>exterior angle<\/strong>.<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading has-text-color has-link-color has-large-font-size wp-elements-89aa8fe280a31c6f6a5cf737f5a33258\" style=\"color:#000060\">\ud83d\udccf <strong>Exterior Angle Property<\/strong><\/h3>\n\n\n\n<p>\ud83d\udc49 The <strong>measure of an exterior angle<\/strong> of a triangle is <strong>equal to the sum of the two opposite interior angles<\/strong>.<\/p>\n\n\n\n<p>\u2728 <strong>Formula:<\/strong> <\/p>\n\n\n\n<p class=\"has-text-align-center\"><strong>Exterior&nbsp;Angle = Sum&nbsp;of&nbsp;two&nbsp;opposite&nbsp;Interior&nbsp;Angles<\/strong><\/p>\n\n\n\n<p>\ud83d\udfe9 Example:<\/p>\n\n\n\n<p>If in triangle <strong>ABC<\/strong>, side <strong>BC<\/strong> is extended to <strong>D<\/strong>,<br>then <\/p>\n\n\n\n<p class=\"has-text-align-center\"><strong>\u2220ACD = \u2220A + \u2220B<\/strong><\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading has-text-color has-link-color has-large-font-size wp-elements-f0c461f61b3b65081c3c4fd3fa507aef\" style=\"color:#000060\">\ud83d\udca1 <strong>Important Notes<\/strong><\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>The <strong>exterior angle<\/strong> and its <strong>adjacent interior angle<\/strong> form a <strong>linear pair<\/strong> (sum = 180\u00b0).<\/li>\n\n\n\n<li>There can be <strong>three exterior angles<\/strong> in a triangle, one at each vertex.<\/li>\n\n\n\n<li>The <strong>sum of all exterior angles<\/strong> of a triangle (one per vertex) is <strong>360\u00b0<\/strong>.<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading has-text-color has-link-color has-large-font-size wp-elements-196d27b5bd1f205ab496f44793c37ff4\" style=\"color:#000060\">\ud83d\udd22 <strong>Example Problem<\/strong><\/h3>\n\n\n\n<p>In \u25b3ABC, side BC is extended to D.<br>If \u2220A = 50\u00b0 and \u2220B = 60\u00b0,<br>then <\/p>\n\n\n\n<p class=\"has-text-align-center\"><strong>\u2220ACD = \u2220A + \u2220B = 50\u00b0 + 60\u00b0 = 110\u00b0<\/strong><\/p>\n\n\n\n<p>\u2705 <strong>Answer: 110\u00b0<\/strong><\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading has-text-color has-link-color has-large-font-size wp-elements-c62fdd7d7efe15ffe27c553ecf397294\" style=\"color:#000060\">\ud83e\udde0 <strong>Real-life Connection<\/strong><\/h3>\n\n\n\n<p>\ud83d\udee3\ufe0f The concept of <strong>exterior angles<\/strong> helps in:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Architecture<\/strong> \ud83c\udfd7\ufe0f (designing triangular roof structures)<\/li>\n\n\n\n<li><strong>Navigation<\/strong> \ud83e\udded (finding direction turns)<\/li>\n\n\n\n<li><strong>Engineering<\/strong> \u2699\ufe0f (calculating forces and support angles)<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading has-text-color has-link-color has-large-font-size wp-elements-95d56244cdc3c52739dca6d451876e01\" style=\"color:#000060\">\ud83c\udfc1 <strong>Summary<\/strong><\/h3>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><thead><tr><th>\ud83d\udfe2 Concept<\/th><th>\ud83e\udde0 Description<\/th><\/tr><\/thead><tbody><tr><td>Exterior Angle<\/td><td>Formed by extending one side of a triangle<\/td><\/tr><tr><td>Property<\/td><td>Exterior angle = sum of two opposite interior angles<\/td><\/tr><tr><td>Linear Pair<\/td><td>Exterior + Adjacent Interior = 180\u00b0<\/td><\/tr><tr><td>Sum of all Exterior Angles<\/td><td>360\u00b0<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p class=\"has-text-color has-link-color wp-elements-8dbaed27a4755ad3456608a830e7b1a1\" style=\"color:#000060\">\u2728 <strong>Remember:<\/strong><\/p>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\">\n<p>\u201cThe outside (exterior) angle always equals the sum of the two far-away (interior) angles!\u201d \ud83d\udcab<\/p>\n<\/blockquote>\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-primary-color has-text-color has-background has-link-color has-large-font-size wp-elements-aec91d6f55669ad3fe97a3a182bff8f6\" style=\"background-color:#aef5bd\"><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 \u22201?<\/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:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/Untitled-design-6.png\" alt=\"\" class=\"wp-image-8468\" style=\"width:270px;height:auto\" srcset=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/Untitled-design-6.png 500w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/Untitled-design-6-300x300.png 300w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/Untitled-design-6-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure><\/div>\n\n\n<p>\u22201 = ______\u00b0<\/p>\n<\/div><\/div>\n\n\n\n<p>\u22201 is an exterior angle of the triangle. The two remote interior angles measure 79\u00b0 and&nbsp;63\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=\"500\" src=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/Untitled_design__7_-removebg-preview.png\" alt=\"\" class=\"wp-image-8469\" style=\"aspect-ratio:1;width:327px;height:auto\" srcset=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/Untitled_design__7_-removebg-preview.png 500w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/Untitled_design__7_-removebg-preview-300x300.png 300w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/Untitled_design__7_-removebg-preview-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure><\/div>\n\n\n<p>To find the exterior angle measure, add the two remote interior angle measures.<\/p>\n\n\n\n<p>\u22201 = 79\u00b0+63\u00b0<\/p>\n\n\n\n<p>= 142\u00b0            Add<\/p>\n\n\n\n<p>So, \u22201 = 142\u00b0.<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-primary-color has-text-color has-background has-link-color has-large-font-size wp-elements-5a5633143c2a25902e518c016f4b49c9\" style=\"background-color:#b5c3f7\"><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 \u22201?<\/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:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/Untitled-design-10.png\" alt=\"\" class=\"wp-image-8474\" style=\"width:318px;height:auto\" srcset=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/Untitled-design-10.png 500w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/Untitled-design-10-300x300.png 300w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/Untitled-design-10-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure><\/div>\n\n\n<p>\u22201 = ___\u00b0<\/p>\n<\/div><\/div>\n\n\n\n<p>\u22201 is an exterior angle of the triangle. The two remote interior angles measure 64\u00b0 and 66\u00b0.<\/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:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/Untitled_design__11_-removebg-preview.png\" alt=\"\" class=\"wp-image-8475\" style=\"width:316px;height:auto\" srcset=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/Untitled_design__11_-removebg-preview.png 500w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/Untitled_design__11_-removebg-preview-300x300.png 300w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/Untitled_design__11_-removebg-preview-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure><\/div>\n\n\n<p>To&nbsp;find the exterior angle measure, add the two remote interior angle&nbsp;measures.<\/p>\n\n\n\n<p>\u22201 = 64\u00b0+66\u00b0<\/p>\n\n\n\n<p>= 130\u00b0          Add<\/p>\n\n\n\n<p>So, \u22201 = 130\u00b0.<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-primary-color has-text-color has-background has-link-color has-large-font-size wp-elements-80cd64d2691af8e45f1fed15cd66bd6c\" style=\"background-color:#f6b8b8\"><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 \u22201?<\/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:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/Untitled-design-12.png\" alt=\"\" class=\"wp-image-8476\" style=\"width:320px;height:auto\" srcset=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/Untitled-design-12.png 500w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/Untitled-design-12-300x300.png 300w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/Untitled-design-12-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure><\/div>\n\n\n<p>\u22201 = ____\u00b0<\/p>\n<\/div><\/div>\n\n\n\n<p>\u22201 is an exterior angle of the triangle. The two remote interior angles measure 47\u00b0 and 94\u00b0.<\/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:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/Untitled_design__13_-removebg-preview.png\" alt=\"\" class=\"wp-image-8477\" style=\"width:312px;height:auto\" srcset=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/Untitled_design__13_-removebg-preview.png 500w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/Untitled_design__13_-removebg-preview-300x300.png 300w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/Untitled_design__13_-removebg-preview-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure><\/div>\n\n\n<p>To&nbsp;find the exterior angle measure, add the two remote interior angle&nbsp;measures.<\/p>\n\n\n\n<p>\u22201 = 47\u00b0+94\u00b0<\/p>\n\n\n\n<p>= 141\u00b0       Add<\/p>\n\n\n\n<p>So, \u22201 = 141\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!<\/strong><\/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\/81348\/787\/447\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-35.png\" alt=\"\" class=\"wp-image-7764\" srcset=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-35.png 500w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-35-300x300.png 300w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-35-150x150.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\/81096\/255\/735\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-40.png\" alt=\"\" class=\"wp-image-7766\" srcset=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-40.png 500w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-40-300x300.png 300w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-40-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Exterior angle property Design by Delta publications key notes : \ud83c\udf1f Exterior Angle Property \ud83e\uddee What is an Exterior Angle? \ud83d\udccf Exterior Angle Property \ud83d\udc49 The measure of an exterior angle of a triangle is equal to the sum of the two opposite interior angles. \u2728 Formula: Exterior&nbsp;Angle = Sum&nbsp;of&nbsp;two&nbsp;opposite&nbsp;Interior&nbsp;Angles \ud83d\udfe9 Example: If in triangle<a class=\"more-link\" href=\"https:\/\/9thclass.deltapublications.in\/index.php\/g-3-exterior-angle-property\/\">Continue reading <span class=\"screen-reader-text\">&#8220;G.3 Exterior angle property&#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-106","page","type-page","status-publish","hentry","entry"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/106","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=106"}],"version-history":[{"count":27,"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/106\/revisions"}],"predecessor-version":[{"id":18152,"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/106\/revisions\/18152"}],"wp:attachment":[{"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=106"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}