{"id":375,"date":"2022-04-12T10:23:31","date_gmt":"2022-04-12T10:23:31","guid":{"rendered":"http:\/\/7thclass.deltapublications.in\/?page_id=375"},"modified":"2024-10-16T11:14:54","modified_gmt":"2024-10-16T11:14:54","slug":"r-8-exterior-angle-property","status":"publish","type":"page","link":"https:\/\/7thclass.deltapublications.in\/index.php\/r-8-exterior-angle-property\/","title":{"rendered":"R.8 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<p class=\"has-text-color has-huge-font-size\" style=\"color:#74008b\"><strong>Key notes:<\/strong><\/p>\n\n\n\n<p class=\"has-large-font-size\">The&nbsp;measure of an exterior angle of a triangle equals the sum of the two remote interior angle&nbsp;measures.<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"408\" height=\"193\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2024\/10\/image-14.png\" alt=\"\" class=\"wp-image-14456\" style=\"aspect-ratio:2.1139896373056994;width:386px;height:auto\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2024\/10\/image-14.png 408w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2024\/10\/image-14-300x142.png 300w\" sizes=\"auto, (max-width: 408px) 100vw, 408px\" \/><\/figure><\/div>\n\n\n<p class=\"has-large-font-size\">\u22202&nbsp;=&nbsp;\u22203&nbsp;+&nbsp;\u22204<\/p>\n\n\n\n<h3 class=\"wp-block-heading has-text-color has-large-font-size\" style=\"color:#000060\"><strong>Exterior Angle Property<\/strong><\/h3>\n\n\n\n<ol class=\"has-large-font-size wp-block-list\">\n<li class=\"has-large-font-size\"><strong>Definition of Exterior Angle<\/strong>:\n<ul class=\"wp-block-list\">\n<li>An exterior angle is formed when a side of a polygon is extended. It is the angle between the extended side and the adjacent side.<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>Exterior Angle Theorem<\/strong>:\n<ul class=\"wp-block-list\">\n<li>The exterior angle of a triangle is equal to the sum of the two opposite interior angles.<\/li>\n\n\n\n<li>Mathematically: If \u2220D is an exterior angle, then \u2220D = \u2220A + \u2220B (where \u2220A and \u2220B are the interior angles opposite to the exterior angle).<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>Application<\/strong>:\n<ul class=\"wp-block-list\">\n<li>This property helps in finding unknown angles in triangles, which is useful in solving geometry problems.<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>Example<\/strong>: Consider triangle ABC with an exterior angle at vertex C, denoted as angle D. If angle A = 40\u00b0 and angle B = 60\u00b0, then:<\/li>\n<\/ol>\n\n\n\n<p class=\"has-text-align-center has-large-font-size\">\u2220D = \u2220A + \u2220B = 40\u00b0 + 60\u00b0 = 100\u00b0.<\/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 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\" style=\"background-color:#ffdddd\"><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\">\ud83c\udf00 <strong>What&nbsp;is&nbsp;\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:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled-design-13.png\" alt=\"\" class=\"wp-image-4820\" style=\"aspect-ratio:1;width:388px;height:auto\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled-design-13.png 500w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled-design-13-300x300.png 300w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled-design-13-150x150.png 150w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled-design-13-400x400.png 400w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure><\/div>\n\n\n<p>\u22201&nbsp;=&nbsp;_____\u00b0<\/p>\n<\/div><\/div>\n\n\n\n<p>\u22201&nbsp;is an exterior angle of the triangle. The two remote interior angles measure 110\u00b0 and&nbsp;35\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:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled_design__1_-removebg-preview-8.png\" alt=\"\" class=\"wp-image-4821\" style=\"aspect-ratio:1;width:446px;height:auto\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled_design__1_-removebg-preview-8.png 500w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled_design__1_-removebg-preview-8-300x300.png 300w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled_design__1_-removebg-preview-8-150x150.png 150w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled_design__1_-removebg-preview-8-400x400.png 400w\" 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=<strong>110\u00b0<\/strong>+<strong>35\u00b0<\/strong><\/p>\n\n\n\n<p>=145\u00b0           Add<\/p>\n\n\n\n<p>So,&nbsp;\u22201&nbsp;=&nbsp;145\u00b0.<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-primary-color has-text-color has-background\" style=\"background-color:#d0fcde\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<div class=\"wp-block-group has-primary-color has-background-background-color has-text-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\">\ud83c\udf00 <strong>What&nbsp;is&nbsp;\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:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled-design-2-5.png\" alt=\"\" class=\"wp-image-4822\" style=\"aspect-ratio:1;width:438px;height:auto\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled-design-2-5.png 500w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled-design-2-5-300x300.png 300w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled-design-2-5-150x150.png 150w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled-design-2-5-400x400.png 400w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure><\/div>\n\n\n<p>\u22201&nbsp;=&nbsp;___\u00b0<\/p>\n<\/div><\/div>\n\n\n\n<p>\u22201&nbsp;is an exterior angle of the triangle. The two remote interior angles measure 45\u00b0 and&nbsp;79\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:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled_design__3_-removebg-preview-4.png\" alt=\"\" class=\"wp-image-4823\" style=\"aspect-ratio:1;width:384px;height:auto\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled_design__3_-removebg-preview-4.png 500w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled_design__3_-removebg-preview-4-300x300.png 300w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled_design__3_-removebg-preview-4-150x150.png 150w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled_design__3_-removebg-preview-4-400x400.png 400w\" 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=<strong>45\u00b0<\/strong>+<strong>79\u00b0<\/strong><\/p>\n\n\n\n<p>=124\u00b0         Add<\/p>\n\n\n\n<p>So,&nbsp;\u22201&nbsp;=&nbsp;124\u00b0.<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-primary-color has-text-color has-background\" style=\"background-color:#d5f5fc\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<div class=\"wp-block-group has-primary-color has-background-background-color has-text-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\">\ud83c\udf00 <strong>What&nbsp;is&nbsp;\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:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled-design-4-7.png\" alt=\"\" class=\"wp-image-4824\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled-design-4-7.png 500w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled-design-4-7-300x300.png 300w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled-design-4-7-150x150.png 150w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled-design-4-7-400x400.png 400w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure><\/div>\n\n\n<p>\u22201&nbsp;=&nbsp;_______\u00b0<\/p>\n<\/div><\/div>\n\n\n\n<p>\u22201&nbsp;is an exterior angle of the triangle. The two remote interior angles measure 55\u00b0 and&nbsp;64\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:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled_design__5_-removebg-preview-2.png\" alt=\"\" class=\"wp-image-4825\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled_design__5_-removebg-preview-2.png 500w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled_design__5_-removebg-preview-2-300x300.png 300w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled_design__5_-removebg-preview-2-150x150.png 150w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled_design__5_-removebg-preview-2-400x400.png 400w\" 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= 55\u00b0+64\u00b0<\/p>\n\n\n\n<p>= 119\u00b0             Add<\/p>\n\n\n\n<p>So, \u22201 = 119\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\/79930\/799\/837\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-91.png\" alt=\"\" class=\"wp-image-6761\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-91.png 500w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-91-300x300.png 300w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-91-150x150.png 150w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-91-400x400.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\/79930\/227\/282\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-92.png\" alt=\"\" class=\"wp-image-6762\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-92.png 500w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-92-300x300.png 300w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-92-150x150.png 150w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-92-400x400.png 400w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Exterior angle property Key notes: The&nbsp;measure of an exterior angle of a triangle equals the sum of the two remote interior angle&nbsp;measures. \u22202&nbsp;=&nbsp;\u22203&nbsp;+&nbsp;\u22204 Exterior Angle Property \u2220D = \u2220A + \u2220B = 40\u00b0 + 60\u00b0 = 100\u00b0. Learn with an example \ud83c\udf00 What&nbsp;is&nbsp;\u22201? \u22201&nbsp;=&nbsp;_____\u00b0 \u22201&nbsp;is an exterior angle of the triangle. The two remote interior<a class=\"more-link\" href=\"https:\/\/7thclass.deltapublications.in\/index.php\/r-8-exterior-angle-property\/\">Continue reading <span class=\"screen-reader-text\">&#8220;R.8 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,"footnotes":""},"class_list":["post-375","page","type-page","status-publish","hentry","entry"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/375","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=375"}],"version-history":[{"count":14,"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/375\/revisions"}],"predecessor-version":[{"id":14458,"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/375\/revisions\/14458"}],"wp:attachment":[{"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=375"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}