{"id":150,"date":"2022-04-13T08:29:21","date_gmt":"2022-04-13T08:29:21","guid":{"rendered":"http:\/\/9thclass.deltapublications.in\/?page_id=150"},"modified":"2025-11-08T09:05:43","modified_gmt":"2025-11-08T09:05:43","slug":"i-3-exterior-angles-of-polygons","status":"publish","type":"page","link":"https:\/\/9thclass.deltapublications.in\/index.php\/i-3-exterior-angles-of-polygons\/","title":{"rendered":"I.3 Exterior angles of polygons"},"content":{"rendered":"\n<h2 class=\"wp-block-heading has-text-align-center has-text-color has-large-font-size\" style=\"color:#00056d;text-transform:uppercase\"><strong> Exterior angles of polygons<\/strong><\/h2>\n\n\n\n<p class=\"has-text-color has-huge-font-size\" style=\"color:#74008b\">key notes :<\/p>\n\n\n\n<h3 class=\"wp-block-heading has-large-font-size\">\ud83d\udd39 <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 polygon is formed when a side of a polygon is <strong>extended<\/strong> outward.<\/li>\n\n\n\n<li>It is the angle <strong>between the extended side and the next side<\/strong> of the polygon. \ud83d\udd3b\u2796<\/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-large-font-size\">\ud83d\udd04 <strong>Exterior Angle &amp; Interior Angle Relationship<\/strong><\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Exterior angle + Interior angle <strong>= 180\u00b0<\/strong> (they form a linear pair) \u2795\ud83d\udcd0<br>Example: If interior angle is 120\u00b0, exterior angle = 180\u00b0 \u2013 120\u00b0 = <strong>60\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-large-font-size\">\ud83e\uddee <strong>Sum of Exterior Angles<\/strong><\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>For <strong>any polygon (regular or irregular)<\/strong>:<br>\u2705 <strong>Sum of all exterior angles = 360\u00b0<\/strong><br>Example: Triangle, square, pentagon\u2026 always <strong>360\u00b0<\/strong> \ud83c\udf89<\/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-large-font-size\">\ud83d\udccf <strong>Exterior Angle of a Regular Polygon<\/strong><\/h3>\n\n\n\n<p>A <strong>regular polygon<\/strong> has all sides and angles equal.<\/p>\n\n\n\n<p>Formula: <\/p>\n\n\n\n<p class=\"has-text-align-center\"><strong>Exterior&nbsp;Angle = 360\u00b0 \/ Number&nbsp;of&nbsp;sides\u200b<\/strong><\/p>\n\n\n\n<p>Examples:<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><thead><tr><th>Polygon<\/th><th>Sides<\/th><th>Each Exterior Angle<\/th><\/tr><\/thead><tbody><tr><td>Triangle \ud83d\udd3a<\/td><td>3<\/td><td>360\u00b0 \u00f7 3 = <strong>120\u00b0<\/strong><\/td><\/tr><tr><td>Square \u2b1c<\/td><td>4<\/td><td>360\u00b0 \u00f7 4 = <strong>90\u00b0<\/strong><\/td><\/tr><tr><td>Pentagon \ud83d\udd37<\/td><td>5<\/td><td>360\u00b0 \u00f7 5 = <strong>72\u00b0<\/strong><\/td><\/tr><tr><td>Hexagon \ud83d\udd36<\/td><td>6<\/td><td>360\u00b0 \u00f7 6 = <strong>60\u00b0<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading has-large-font-size\">\ud83e\udde0 <strong>How Many Exterior Angles?<\/strong><\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Every polygon has <strong>the same number of exterior angles as its sides<\/strong>.<br>Example: Hexagon = 6 sides \u2192 <strong>6 exterior angles<\/strong> \u2705<\/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-large-font-size\">\ud83d\udddd\ufe0f <strong>Key Tips to Remember<\/strong><\/h3>\n\n\n\n<p>\u2728 Exterior angle = <strong>turning angle<\/strong> when you walk around a polygon.<br>\u2728 If you go around a polygon once, you make a <strong>full turn = 360\u00b0<\/strong> \ud83d\udd04<br>\u2728 Regular polygon exterior angles are <strong>equal<\/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-large-font-size\">\ud83d\udd0d <strong>Quick Practice<\/strong><\/h3>\n\n\n\n<p>1\ufe0f\u20e3 A regular octagon has 8 sides. Each exterior angle = 360\u00b0 \u00f7 8 = <strong>45\u00b0<\/strong><br>2\ufe0f\u20e3 If an exterior angle of a regular polygon is 30\u00b0, number of sides = 360\u00b0 \u00f7 30\u00b0 = <strong>12 sides<\/strong><\/p>\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-background has-large-font-size\" style=\"background-color:#b5beff\"><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>\u2708\ufe0f The&nbsp;diagram shows a convex&nbsp;polygon.<\/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\/2022\/12\/Untitled_design__80_-removebg-preview.png\" alt=\"\" class=\"wp-image-3501\" style=\"width:209px;height:209px\" srcset=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2022\/12\/Untitled_design__80_-removebg-preview.png 500w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2022\/12\/Untitled_design__80_-removebg-preview-300x300.png 300w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2022\/12\/Untitled_design__80_-removebg-preview-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure><\/div>\n\n\n<p class=\"has-text-color\" style=\"color:#b00012\"><strong>\u2708\ufe0f What&nbsp;is the sum of the exterior angle measures, one at each vertex, of this&nbsp;polygon?<\/strong><\/p>\n\n\n\n<p>______\u00b0<\/p>\n<\/div><\/div>\n\n\n\n<p>Look&nbsp;at this convex&nbsp;polygon.<\/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\/2022\/12\/Untitled_design__80_-removebg-preview-1.png\" alt=\"\" class=\"wp-image-3502\" style=\"width:223px;height:223px\" srcset=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2022\/12\/Untitled_design__80_-removebg-preview-1.png 500w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2022\/12\/Untitled_design__80_-removebg-preview-1-300x300.png 300w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2022\/12\/Untitled_design__80_-removebg-preview-1-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure><\/div>\n\n\n<p>Since this polygon is convex, the sum of its exterior angle measures, one at each vertex, is 360\u00b0. The number of sides is not relevant.<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background has-large-font-size\" style=\"background-color:#b0f9fc\"><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>\u2708\ufe0f The&nbsp;diagram shows a convex&nbsp;polygon.<\/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\/2022\/12\/Untitled_design__81_-removebg-preview.png\" alt=\"\" class=\"wp-image-3505\" style=\"width:197px;height:197px\" srcset=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2022\/12\/Untitled_design__81_-removebg-preview.png 500w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2022\/12\/Untitled_design__81_-removebg-preview-300x300.png 300w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2022\/12\/Untitled_design__81_-removebg-preview-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure><\/div>\n\n\n<p class=\"has-text-color\" style=\"color:#b00012\"><strong>\u2708\ufe0f What&nbsp;is the sum of the exterior angle measures, one at each vertex, of this&nbsp;polygon?<\/strong><\/p>\n\n\n\n<p>_______\u00b0<\/p>\n<\/div><\/div>\n\n\n\n<p>Look&nbsp;at this convex&nbsp;polygon.<\/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\/2022\/12\/Untitled_design__81_-removebg-preview-1.png\" alt=\"\" class=\"wp-image-3506\" style=\"width:199px;height:199px\" srcset=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2022\/12\/Untitled_design__81_-removebg-preview-1.png 500w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2022\/12\/Untitled_design__81_-removebg-preview-1-300x300.png 300w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2022\/12\/Untitled_design__81_-removebg-preview-1-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure><\/div>\n\n\n<p>Since this polygon is convex, the sum of its exterior angle measures, one at each vertex, is 360\u00b0. The number of sides is not relevant.<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background has-large-font-size\" style=\"background-color:#adf8dc\"><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>\u2708\ufe0f The&nbsp;diagram shows a convex&nbsp;polygon.<\/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\/2022\/12\/Untitled_design__82_-removebg-preview.png\" alt=\"\" class=\"wp-image-3509\" style=\"aspect-ratio:1;width:237px;height:auto\" srcset=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2022\/12\/Untitled_design__82_-removebg-preview.png 500w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2022\/12\/Untitled_design__82_-removebg-preview-300x300.png 300w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2022\/12\/Untitled_design__82_-removebg-preview-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure><\/div>\n\n\n<p class=\"has-text-color\" style=\"color:#b00012\"><strong>\u2708\ufe0f What&nbsp;is the sum of the exterior angle measures, one at each vertex, of this&nbsp;polygon?<\/strong><\/p>\n\n\n\n<p>_______\u00b0<\/p>\n<\/div><\/div>\n\n\n\n<p>Look&nbsp;at this convex&nbsp;polygon.<\/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\/2022\/12\/Untitled_design__82_-removebg-preview-1.png\" alt=\"\" class=\"wp-image-3510\" style=\"aspect-ratio:1;width:272px;height:auto\" srcset=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2022\/12\/Untitled_design__82_-removebg-preview-1.png 500w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2022\/12\/Untitled_design__82_-removebg-preview-1-300x300.png 300w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2022\/12\/Untitled_design__82_-removebg-preview-1-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure><\/div>\n\n\n<p>Since this polygon is convex, the sum of its exterior angle measures, one at each vertex, is 360\u00b0. The number of sides is not relevant.<\/p>\n<\/div><\/div>\n\n\n\n<p class=\"has-text-color has-large-font-size\" style=\"color:#d90000\">let&#8217;s practice! \ud83d\udd8a\ufe0f<\/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\/101543\/804\/294\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-49.png\" alt=\"\" class=\"wp-image-7826\" srcset=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-49.png 500w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-49-300x300.png 300w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-49-150x150.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\/101544\/044\/357\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-58.png\" alt=\"\" class=\"wp-image-7827\" srcset=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-58.png 500w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-58-300x300.png 300w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-58-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Exterior angles of polygons key notes : \ud83d\udd39 What is an Exterior Angle? \ud83d\udd04 Exterior Angle &amp; Interior Angle Relationship \ud83e\uddee Sum of Exterior Angles \ud83d\udccf Exterior Angle of a Regular Polygon A regular polygon has all sides and angles equal. Formula: Exterior&nbsp;Angle = 360\u00b0 \/ Number&nbsp;of&nbsp;sides\u200b Examples: Polygon Sides Each Exterior Angle Triangle \ud83d\udd3a<a class=\"more-link\" href=\"https:\/\/9thclass.deltapublications.in\/index.php\/i-3-exterior-angles-of-polygons\/\">Continue reading <span class=\"screen-reader-text\">&#8220;I.3 Exterior angles of polygons&#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-150","page","type-page","status-publish","hentry","entry"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/150","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=150"}],"version-history":[{"count":20,"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/150\/revisions"}],"predecessor-version":[{"id":18233,"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/150\/revisions\/18233"}],"wp:attachment":[{"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=150"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}