{"id":5927,"date":"2022-01-28T17:45:28","date_gmt":"2022-01-28T17:45:28","guid":{"rendered":"https:\/\/oryxlearning.com\/company\/?page_id=5927"},"modified":"2022-03-01T18:30:04","modified_gmt":"2022-03-01T18:30:04","slug":"how-to-find-exterior-angles-of-triangles","status":"publish","type":"page","link":"https:\/\/oryxlearning.com\/learn\/how-to-find-exterior-angles-of-triangles\/","title":{"rendered":"How to Find Exterior Angles of Triangles"},"content":{"rendered":"[vc_section full_width=&#8221;stretch_row&#8221; content_placement=&#8221;middle&#8221; css=&#8221;.vc_custom_1633364343825{background-image: url(https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/10-min-scaled.jpg?id=2121) !important;background-position: center !important;background-repeat: no-repeat !important;background-size: cover !important;}&#8221; el_id=&#8221;bg-sec&#8221;][vc_row full_width=&#8221;stretch_row_content&#8221; el_class=&#8221;faaaq&#8221;][vc_column width=&#8221;1\/12&#8243;][\/vc_column][vc_column width=&#8221;1\/2&#8243;][vc_row_inner content_placement=&#8221;middle&#8221; el_class=&#8221;topheadingg&#8221;][vc_column_inner width=&#8221;1\/6&#8243;][vc_single_image image=&#8221;2283&#8243; img_size=&#8221;full&#8221;][\/vc_column_inner][vc_column_inner width=&#8221;5\/6&#8243;][vc_column_text]\n<h5>How to Find Exterior Angles of Triangles<\/h5>\n[\/vc_column_text][\/vc_column_inner][\/vc_row_inner][vc_column_text el_class=&#8221;headingnew&#8221;]Concept[\/vc_column_text][vc_column_text]When any side of a triangle is extended, the angle that is formed with this side and its adjacent side is called the exterior angle of a triangle. There are three exterior angles in a triangle. It should be noted that each exterior angle forms a linear pair with its corresponding interior angle. We know that the interior angle of a triangle is formed inside it where the sides meet at a vertex.<\/p>\n<p><a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/8th-grade\/angles-of-a-triangle\"><img loading=\"lazy\" class=\"alignnone \" src=\"https:\/\/cdn.oryxlearning.com\/media_assets\/1638256741858.svg\" width=\"350\" height=\"139\" \/><\/a>[\/vc_column_text][vc_column_text el_class=&#8221;headingnew&#8221;]Rules[\/vc_column_text][vc_column_text]An interior angle is one of the three angles inside of a triangle.\u200b<br \/>\nAngles 1, 2, and 3 are interior angles. \u200b<\/p>\n<p><a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/8th-grade\/angles-of-a-triangle\"><img loading=\"lazy\" class=\"alignnone wp-image-5929 size-full\" src=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/11\/63-e1638257685974.png\" alt=\"\" width=\"235\" height=\"144\" \/><\/a><\/p>\n<p>An exterior angle is created by extending one side of a triangle beyond the vertex.\u200b<br \/>\nAngles 4, 5, and 6 are exterior angles.\u200b<\/p>\n<p><a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/8th-grade\/angles-of-a-triangle\"><img loading=\"lazy\" class=\"alignnone wp-image-5947 size-full\" src=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/11\/imageedit_1_6939467893.png\" alt=\"\" width=\"226\" height=\"143\" \/><\/a><\/p>\n<p>The measure of an exterior angle is equal to the sum of the two remote interior angles.<br \/>\nm\u22204 = m\u22202 + m\u22203<\/p>\n<p><a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/8th-grade\/angles-of-a-triangle\"><img loading=\"lazy\" class=\"alignnone wp-image-5933 size-full\" src=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/11\/66-e1638257737476.png\" alt=\"\" width=\"240\" height=\"150\" \/><\/a><\/p>\n<p>There are three basic properties of the exterior angles of a triangle.<\/p>\n<p>i. In a triangle, each exterior angle and its corresponding interior angle form a linear pair of angles. This means that the sum of the interior and exterior angle is equal to 180\u00b0.<br \/>\nii. The exterior angle of a triangle is equal to the sum of the two opposite interior angles (remote interior angles). This is also known as the<strong> Exterior Angle theorem<\/strong>.<br \/>\niii. The sum of all the exterior angles of a triangle is 360\u00b0.[\/vc_column_text][vc_column_text el_class=&#8221;headingnew&#8221;]Example[\/vc_column_text][vc_column_text]<strong><span style=\"color: #16a085;\">What is the measure of angle x?<\/span><\/strong><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/finding-angle-measures\"><br \/>\n<img loading=\"lazy\" class=\"alignnone wp-image-5935 size-full\" src=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/11\/65.png\" alt=\"\" width=\"235\" height=\"271\" \/><\/a><br \/>\n[\/vc_column_text][vc_column_text el_class=&#8221;headingnew&#8221;]Solution[\/vc_column_text][vc_column_text]The two remote interior angles add up to equal the measure of the exterior angle. So, <strong>75\u00b0<\/strong> + <strong>36\u00b0<\/strong> = x.<br \/>\nx = <strong><span style=\"color: red;\">111\u00b0<\/span><\/strong>[\/vc_column_text][vc_column_text el_class=&#8221;headingnew&#8221;]Practice How to Find Exterior Angles of Triangles[\/vc_column_text][vc_row_inner el_class=&#8221;boxxborder&#8221;][vc_column_inner][vc_column_text]\n<h5 style=\"margin-bottom: 9px;\">Practice Problem 1<\/h5>\n<p><strong><span style=\"color: #16a085;\">What is the measure of angle x?<\/span><\/strong><\/p>\n<p><a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/8th-grade\/angles-of-a-triangle\"><img loading=\"lazy\" class=\"alignnone wp-image-5937 size-full\" src=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/11\/67.png\" alt=\"How to Find Exterior Angles of Triangles Example - Practice Problem 1\" width=\"148\" height=\"381\" srcset=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/11\/67.png 148w, https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/11\/67-117x300.png 117w\" sizes=\"(max-width: 148px) 100vw, 148px\" \/><\/a><\/p>\n[\/vc_column_text][vc_single_image image=&#8221;2159&#8243; img_size=&#8221;full&#8221; alignment=&#8221;right&#8221; onclick=&#8221;custom_link&#8221; link=&#8221;https:\/\/en.oryxlearning.com\/question\/maths\/8th-grade\/angles-of-a-triangle&#8221;][\/vc_column_inner][\/vc_row_inner][vc_empty_space][vc_row_inner el_class=&#8221;boxxborder&#8221;][vc_column_inner][vc_column_text]\n<h5 style=\"margin-bottom: 9px;\">Practice Problem 2<\/h5>\n<p><strong><span style=\"color: #16a085;\">What is the measure of angle x?<\/span><\/strong><\/p>\n<p><a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/8th-grade\/angles-of-a-triangle\"><img loading=\"lazy\" class=\"alignnone wp-image-5939 size-full\" src=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/11\/68.png\" alt=\"How to Find Exterior Angles of Triangles Example - Practice Problem 2\" width=\"305\" height=\"226\" srcset=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/11\/68.png 305w, https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/11\/68-300x222.png 300w\" sizes=\"(max-width: 305px) 100vw, 305px\" \/><\/a><\/p>\n[\/vc_column_text][vc_single_image image=&#8221;2159&#8243; img_size=&#8221;full&#8221; alignment=&#8221;right&#8221; onclick=&#8221;custom_link&#8221; link=&#8221;https:\/\/en.oryxlearning.com\/question\/maths\/8th-grade\/angles-of-a-triangle&#8221;][\/vc_column_inner][\/vc_row_inner][vc_empty_space][vc_row_inner el_class=&#8221;boxxborder&#8221;][vc_column_inner][vc_column_text]\n<h5 style=\"margin-bottom: 9px;\">Practice Problem 3<\/h5>\n<p><strong><span style=\"color: #16a085;\">What is the measure of angle x?<\/span><\/strong><\/p>\n<p><a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/8th-grade\/angles-of-a-triangle\"><img loading=\"lazy\" class=\"alignnone wp-image-5941 size-full\" src=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/11\/69.png\" alt=\"How to Find Exterior Angles of Triangles Example - Practice Problem 3\" width=\"172\" height=\"345\" srcset=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/11\/69.png 172w, https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/11\/69-150x300.png 150w\" sizes=\"(max-width: 172px) 100vw, 172px\" \/><\/a><\/p>\n[\/vc_column_text][vc_single_image image=&#8221;2159&#8243; img_size=&#8221;full&#8221; alignment=&#8221;right&#8221; onclick=&#8221;custom_link&#8221; link=&#8221;https:\/\/en.oryxlearning.com\/question\/maths\/8th-grade\/angles-of-a-triangle&#8221;][\/vc_column_inner][\/vc_row_inner][vc_empty_space][\/vc_column][vc_column width=&#8221;1\/3&#8243; css=&#8221;.vc_custom_1633369011398{margin-bottom: 50px !important;}&#8221;][vc_row_inner el_class=&#8221;stickynotee&#8221;][vc_column_inner][vc_single_image image=&#8221;2265&#8243; img_size=&#8221;full&#8221; alignment=&#8221;center&#8221; css_animation=&#8221;fadeIn&#8221; css=&#8221;.vc_custom_1633509989314{border-radius: 10px !important;}&#8221; el_class=&#8221;stickypin&#8221;][vc_column_text]<strong>Interior angle<\/strong> &#8211; An angle that is one of the three angles inside of a triangle.\u200b<\/p>\n<p><strong>Exterior angle<\/strong> &#8211; An angle created by extending one side of a triangle beyond the vertex.\u200b[\/vc_column_text][\/vc_column_inner][\/vc_row_inner][vc_column_text el_class=&#8221;boxxborder2&#8243;]<span style=\"color: #ed5600;\"><strong>Pre-requisite Skills<\/strong><\/span><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/6th-grade\/Classify-Angles-G6\"><span style=\"color: #ed5600;\">Classify Angles<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/6th-grade\/drawing-angles\"><span style=\"color: #ed5600;\">Drawing Angles<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/6th-grade\/estimating-angles\"><span style=\"color: #ed5600;\">Estimating Angles<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/6th-grade\/angle-relationships\"><span style=\"color: #ed5600;\">Angle Relationships<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/6th-grade\/classify-triangles\"><span style=\"color: #ed5600;\">Classify Triangles<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/angles\"><span style=\"color: #ed5600;\">Angles<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/finding-angle-measures\"><span style=\"color: #ed5600;\">Finding Angle Measures<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/complementary-and-supplementary-angles\"><span style=\"color: #ed5600;\">Complementary and Supplementary Angles<\/span><\/a>[\/vc_column_text][vc_column_text el_class=&#8221;boxxborder2&#8243; css=&#8221;.vc_custom_1638257094895{border-top-width: 7px !important;border-right-width: 7px !important;border-bottom-width: 7px !important;border-left-width: 7px !important;background-position: center !important;background-repeat: no-repeat !important;background-size: contain !important;border-left-color: #333399 !important;border-left-style: solid !important;border-right-color: #333399 !important;border-right-style: solid !important;border-top-color: #333399 !important;border-top-style: solid !important;border-bottom-color: #333399 !important;border-bottom-style: solid !important;border-radius: 35px !important;}&#8221;]<span style=\"color: #333399;\"><strong>Related Skills<\/strong><\/span><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/8th-grade\/geometric-proof\"><span style=\"color: #333399;\">Geometric Proof<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/8th-grade\/polygons-and-angles\"><span style=\"color: #333399;\">Polygons and Angles<\/span><\/a>[\/vc_column_text][vc_row_inner equal_height=&#8221;yes&#8221; 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content_placement=&#8221;middle&#8221; css=&#8221;.vc_custom_1633364343825{background-image: url(https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/10-min-scaled.jpg?id=2121) !important;background-position: center !important;background-repeat: no-repeat !important;background-size: cover !important;}&#8221; el_id=&#8221;bg-sec&#8221;][vc_row full_width=&#8221;stretch_row_content&#8221; el_class=&#8221;faaaq&#8221;][vc_column width=&#8221;1\/12&#8243;][\/vc_column][vc_column width=&#8221;1\/2&#8243;][vc_row_inner content_placement=&#8221;middle&#8221; el_class=&#8221;topheadingg&#8221;][vc_column_inner width=&#8221;1\/6&#8243;][vc_single_image image=&#8221;2283&#8243; img_size=&#8221;full&#8221;][\/vc_column_inner][vc_column_inner width=&#8221;5\/6&#8243;][vc_column_text] How to Find Exterior Angles of Triangles [\/vc_column_text][\/vc_column_inner][\/vc_row_inner][vc_column_text el_class=&#8221;headingnew&#8221;]Concept[\/vc_column_text][vc_column_text]When any side of a triangle is extended, the angle that is formed with this side and its adjacent side is called the exterior [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v17.0 (Yoast SEO v17.6) - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>How to Find Exterior Angles of Triangles | Oryx Learning<\/title>\n<meta name=\"description\" content=\"When any side of a triangle is extended, the angle that is formed with this side and its adjacent side is called the exterior angle of a triangle. 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