{"id":6018,"date":"2022-01-28T18:01:23","date_gmt":"2022-01-28T18:01:23","guid":{"rendered":"https:\/\/oryxlearning.com\/company\/?page_id=6018"},"modified":"2022-03-01T18:32:31","modified_gmt":"2022-03-01T18:32:31","slug":"how-to-find-interior-angles-of-triangles","status":"publish","type":"page","link":"https:\/\/oryxlearning.com\/learn\/how-to-find-interior-angles-of-triangles\/","title":{"rendered":"How to Find Interior Angles of Triangles"},"content":{"rendered":"[vc_section full_width=”stretch_row” content_placement=”middle” css=”.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;}” el_id=”bg-sec”][vc_row full_width=”stretch_row_content” el_class=”faaaq”][vc_column width=”1\/12″][\/vc_column][vc_column width=”1\/2″][vc_row_inner content_placement=”middle” el_class=”topheadingg”][vc_column_inner width=”1\/6″][vc_single_image image=”2283″ img_size=”full”][\/vc_column_inner][vc_column_inner width=”5\/6″][vc_column_text]\n<h5>How to Find Interior Angles of Triangles<\/h5>\n[\/vc_column_text][\/vc_column_inner][\/vc_row_inner][vc_column_text el_class=”headingnew”]Concept[\/vc_column_text][vc_column_text]The angles that lie inside a shape, generally a polygon, are said to be <strong>interior angles<\/strong>.<\/p>\n<p>In a triangle, there are three interior angles at each vertex. The sum of those interior angles is always 180\u00b0. The bisectors of these angles meet at an point known as incenter. As the sum of interior angles of a triangle is 180\u00b0, there is only one possible right angle or obtuse angle possible in each triangle. A triangle with all three acute interior angles is called an acute triangle, a triangle with one interior angle as obtuse is known as an obtuse triangle, while a triangle with one interior angle as right angle is known as a right angled triangle.<\/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=\"368\" height=\"146\" \/><\/a>[\/vc_column_text][vc_column_text el_class=”headingnew”]Rules[\/vc_column_text][vc_column_text]The three angles of any triangle add up to 180 degrees.\u200b<\/p>\n<p><a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/angles-in-triangles\"><img loading=\"lazy\" class=\"alignnone wp-image-6020 size-full\" src=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/12\/3-angles.png\" alt=\"\" width=\"180\" height=\"212\" \/><\/a><\/p>\n<p>To find any missing interior angle in a triangle, add the two angles given and then subtract from 180 degrees.[\/vc_column_text][vc_column_text el_class=”headingnew”]Example[\/vc_column_text][vc_column_text]<strong><span style=\"color: #16a085;\">What is the measure of the missing angle?<\/span><\/strong><\/p>\n<p><a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/angles-in-triangles\"><img loading=\"lazy\" class=\"alignnone wp-image-6022 size-full\" src=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/12\/imageedit_1_5093109484.png\" alt=\"\" width=\"207\" height=\"127\" \/><\/a>[\/vc_column_text][vc_column_text el_class=”headingnew”]Solution[\/vc_column_text][vc_column_text]The three angles in a triangle add up to 180 degrees. We can find the missing angle by subtracting the two known angles from 180.<\/p>\n<p><strong>180\u00b0 – 34\u00b0 – 75\u00b0 <\/strong><\/p>\n<p><strong>= <span style=\"color: #ff0000;\">71\u00b0<\/span><\/strong><\/p>\n[\/vc_column_text][vc_column_text el_class=”headingnew”]Practice How to Find Interior Angles of Triangles[\/vc_column_text][vc_row_inner el_class=”boxxborder”][vc_column_inner][vc_column_text]\n<h5 style=\"margin-bottom: 9px;\">Practice Problem 1<\/h5>\n<p><strong><span style=\"color: #16a085;\">In the given triangle, find the value of x when given 2 angle measures.<\/span><\/strong><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/angles-in-triangles\"><img loading=\"lazy\" class=\"alignnone wp-image-6024 size-full\" style=\"margin-top: 17px; margin-bottom: 0px;\" src=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/12\/angle.png\" alt=\"How to Find Interior Angles of Triangles Example - Practice Problem 1\" width=\"262\" height=\"250\" \/><\/a><\/p>\n[\/vc_column_text][vc_single_image image=”2159″ img_size=”full” alignment=”right” onclick=”custom_link” link=”https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/angles-in-triangles”][\/vc_column_inner][\/vc_row_inner][vc_empty_space][vc_row_inner el_class=”boxxborder”][vc_column_inner][vc_column_text]\n<h5 style=\"margin-bottom: 9px;\">Practice Problem 2<\/h5>\n<p><strong><span style=\"color: #16a085;\">In the given triangle, find the value of x when given 2 angle measures.<\/span><\/strong><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/angles-in-triangles\"><img loading=\"lazy\" class=\"alignnone wp-image-6026 size-full\" style=\"margin-top: 15px; margin-bottom: 0px;\" src=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/12\/angles.png\" alt=\"How to Find Interior Angles of Triangles Example - Practice Problem 2\" width=\"262\" height=\"199\" \/><\/a><\/p>\n[\/vc_column_text][vc_single_image image=”2159″ img_size=”full” alignment=”right” onclick=”custom_link” link=”https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/angles-in-triangles”][\/vc_column_inner][\/vc_row_inner][vc_empty_space][vc_row_inner el_class=”boxxborder”][vc_column_inner][vc_column_text]\n<h5 style=\"margin-bottom: 9px;\">Practice Problem 3<\/h5>\n<p><strong><span style=\"color: #16a085;\">Find the value of the missing angles in the given situation by finding the value of x.<\/span><\/strong><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/angles-in-triangles\"><br \/>\n<img loading=\"lazy\" class=\"alignnone wp-image-6028 size-full\" style=\"margin-top: 10px; margin-bottom: 0px;\" src=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/12\/3option-with-input.png\" alt=\"\" width=\"177\" height=\"116\" \/><\/a><a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/angles-in-triangles\"><img loading=\"lazy\" class=\"alignnone\" style=\"margin-top: 15px; margin-bottom: 0px;\" src=\"https:\/\/cdn.oryxlearning.com\/media_assets\/1597043668835.svg\" alt=\"How to Find Interior Angles of Triangles Example - Practice Problem 3\" width=\"243\" height=\"162\" \/><\/a><\/p>\n[\/vc_column_text][vc_single_image image=”2159″ img_size=”full” alignment=”right” onclick=”custom_link” link=”https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/angles-in-triangles”][\/vc_column_inner][\/vc_row_inner][vc_empty_space][\/vc_column][vc_column width=”1\/3″ css=”.vc_custom_1633369011398{margin-bottom: 50px !important;}”][vc_row_inner el_class=”stickynotee”][vc_column_inner][vc_single_image image=”2265″ img_size=”full” alignment=”center” css_animation=”fadeIn” css=”.vc_custom_1633509989314{border-radius: 10px !important;}” el_class=”stickypin”][vc_column_text]<strong>Interior angle<\/strong> – An angle that is one of the three angles inside of a triangle.\u200b<\/p>\n<p><strong>Exterior angle<\/strong> – 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=”boxxborder2″]<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=”boxxborder2″ css=”.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;}”]<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=”yes” el_class=”btninlinespacing”][vc_column_inner][vc_btn title=”Grade 1″ color=”warning” link=”url:https%3A%2F%2Foryxlearning.com%2Fgrade%2F1st-grade%2Fmaths|title:Grade%201%20Math||”][vc_btn title=”Grade 2″ color=”danger” link=”url:https%3A%2F%2Foryxlearning.com%2Fgrade%2F2nd-grade%2Fmaths|title:Grade%202%20Math||”][vc_btn title=”Grade 3″ color=”violet” link=”url:https%3A%2F%2Foryxlearning.com%2Fgrade%2F3rd-grade%2Fmaths|title:Grade%203%20Math||”][vc_btn title=”Grade 4″ color=”blue” link=”url:https%3A%2F%2Foryxlearning.com%2Fgrade%2F4th-grade%2Fmaths|title:Grade%204%20Math||”][vc_btn title=”Grade 5″ color=”green” link=”url:https%3A%2F%2Foryxlearning.com%2Fgrade%2F5th-grade%2Fmaths|title:Grade%205%20Math||”][vc_btn title=”Grade 6″ color=”info” link=”url:https%3A%2F%2Foryxlearning.com%2Fgrade%2F6th-grade%2Fmaths|title:Grade%206%20Math||”][vc_btn title=”Grade 7″ color=”vista-blue” link=”url:https%3A%2F%2Foryxlearning.com%2Fgrade%2F7th-grade%2Fmaths|title:Grade%207%20Math||”][vc_btn title=”Grade 8″ color=”mulled-wine” link=”url:https%3A%2F%2Foryxlearning.com%2Fgrade%2F8th-grade%2Fmaths|title:Grade%208%20Math||”][\/vc_column_inner][\/vc_row_inner][vc_row_inner equal_height=”yes” el_class=”btninlinespacing”][vc_column_inner][vc_btn title=”Geometry and Spatial sense” color=”warning” link=”url:https%3A%2F%2Foryxlearning.com%2Ftopics%2Fmaths%2Fgeometry-and-spatial-sense|title:Geometry%20and%20Spatial%20sense||”][vc_btn title=”Graphs” color=”danger” link=”url:https%3A%2F%2Foryxlearning.com%2Ftopics%2Fmaths%2Fgraphs|title:Graphs||”][vc_btn title=”Measurement” color=”violet” link=”url:https%3A%2F%2Foryxlearning.com%2Ftopics%2Fmaths%2Fmeasurement|title:Measurement||”][\/vc_column_inner][\/vc_row_inner][\/vc_column][\/vc_row][\/vc_section]\n","protected":false},"excerpt":{"rendered":"<p>[vc_section full_width=”stretch_row” content_placement=”middle” css=”.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;}” el_id=”bg-sec”][vc_row full_width=”stretch_row_content” el_class=”faaaq”][vc_column width=”1\/12″][\/vc_column][vc_column width=”1\/2″][vc_row_inner content_placement=”middle” el_class=”topheadingg”][vc_column_inner width=”1\/6″][vc_single_image image=”2283″ img_size=”full”][\/vc_column_inner][vc_column_inner width=”5\/6″][vc_column_text] How to Find Interior Angles of Triangles [\/vc_column_text][\/vc_column_inner][\/vc_row_inner][vc_column_text el_class=”headingnew”]Concept[\/vc_column_text][vc_column_text]The angles that lie inside a shape, generally a polygon, are said to be interior angles. In a triangle, there are three interior angles […]<\/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 Interior Angles of Triangles | Oryx Learning<\/title>\n<meta name=\"description\" content=\"The angles that lie inside a shape, generally a polygon, are said to be interior angles.In a triangle, there are three interior angles at each vertex. The sum of those interior angles is always 180\u00b0. The bisectors of these angles meet at an point known as incenter. As the sum of interior angles of a triangle is 180\u00b0, there is only one possible right angle or obtuse angle possible in each triangle.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/oryxlearning.com\/learn\/how-to-find-interior-angles-of-triangles\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"How to Find Interior Angles of Triangles\" \/>\n<meta property=\"og:description\" content=\"The angles that lie inside a shape, generally a polygon, are said to be interior angles.In a triangle, there are three interior angles at each vertex. The sum of those interior angles is always 180\u00b0. The bisectors of these angles meet at an point known as incenter. 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The sum of those interior angles is always 180\u00b0. The bisectors of these angles meet at an point known as incenter. As the sum of interior angles of a triangle is 180\u00b0, there is only one possible right angle or obtuse angle possible in each triangle.","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/oryxlearning.com\/learn\/how-to-find-interior-angles-of-triangles\/","og_locale":"en_US","og_type":"article","og_title":"How to Find Interior Angles of Triangles","og_description":"The angles that lie inside a shape, generally a polygon, are said to be interior angles.In a triangle, there are three interior angles at each vertex. The sum of those interior angles is always 180\u00b0. The bisectors of these angles meet at an point known as incenter. 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The sum of those interior angles is always 180\u00b0. The bisectors of these angles meet at an point known as incenter. 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