{"id":508,"date":"2012-01-20T18:33:03","date_gmt":"2012-01-20T18:33:03","guid":{"rendered":"https:\/\/schooltutoring.com\/scholarship\/?p=508"},"modified":"2014-12-02T08:33:50","modified_gmt":"2014-12-02T08:33:50","slug":"angles-of-polygons","status":"publish","type":"post","link":"https:\/\/schooltutoring.com\/scholarship\/2012\/01\/20\/angles-of-polygons\/","title":{"rendered":"Angles of Polygons"},"content":{"rendered":"<p>Polygons are closed geometric figures made with straight lines.<\/p>\n<p><a href=\"https:\/\/schooltutoring.com\/wp-content\/uploads\/sites\/8\/angles-of-polygons1.png\"><img loading=\"lazy\" decoding=\"async\" class=\"alignleft size-full wp-image-509\" src=\"https:\/\/schooltutoring.com\/wp-content\/uploads\/sites\/8\/angles-of-polygons1.png\" alt=\"\" width=\"410\" height=\"107\" \/><\/a><\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p><span style=\"text-decoration: underline\">Sum of interior angels<\/span><\/p>\n<p>The sum of the interior angles of a convex polygon of \u2018n\u2019 sides is given as:<\/p>\n<p>S = (n \u2013 2) \u00d7 180\u00b0<\/p>\n<p>Examples:<\/p>\n<p><strong>Triangle<\/strong> has 3 sides, sum of interior angles is (3 \u2013 2) \u00d7 180\u00b0 = <strong>180<\/strong><strong>\u00b0<\/strong><\/p>\n<p><strong>Pentagon<\/strong> has 5 sides, sum on interior angles is (5 \u2013 2) \u00d7 180\u00b0 = 3 \u00d7 180\u00b0 = <strong>540\u00b0<\/strong><\/p>\n<p><span style=\"text-decoration: underline\">\u00a0Interior angle<\/span><\/p>\n<p>The measure of interior angel of a regular polygon with \u2018n\u2019 sides is given by sum of the interior angles divided by the number of side.<\/p>\n<p><a href=\"https:\/\/schooltutoring.com\/wp-content\/uploads\/sites\/8\/angles-of-polygons2.png\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-510\" src=\"https:\/\/schooltutoring.com\/wp-content\/uploads\/sites\/8\/angles-of-polygons2.png\" alt=\"\" width=\"122\" height=\"81\" \/><\/a><\/p>\n<p>Example:<\/p>\n<p>The sum of interior angles of a hexagon is (6 \u2013 2) \u00d7 180\u00b0 = 720\u00b0<\/p>\n<p>Measure of each angle of regular hexagon = 720\/6 = 120\u00b0<\/p>\n<p><span style=\"text-decoration: underline\">Exterior angle<\/span><\/p>\n<p>The interior angle and exterior angle add up to 180\u00b0.<\/p>\n<p>Interior angel + Exterior angel = 180\u00b0<\/p>\n<p>Exterior angle = 180\u00b0 &#8211; Interior angle<\/p>\n<p>Example:<\/p>\n<p>Interior angle of a pentagon measures 108\u00b0.<\/p>\n<p>Exterior angle of a pentagon = 180\u00b0 \u2013 108\u00b0 = 72\u00b0<\/p>\n<p><a href=\"https:\/\/schooltutoring.com\/wp-content\/uploads\/sites\/8\/angles-of-polygons3.png\"><img loading=\"lazy\" decoding=\"async\" class=\"alignleft size-full wp-image-511\" src=\"https:\/\/schooltutoring.com\/wp-content\/uploads\/sites\/8\/angles-of-polygons3.png\" alt=\"\" width=\"277\" height=\"156\" \/><\/a><\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>SchoolTutoring Academy is the premier educational services company for K-12 and college students. We offer tutoring programs for students in K-12, AP classes, and college. To learn more visit <a href=\"https:\/\/schooltutoring.com\">SchoolTutoring Academy.com<\/a>.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Polygons are closed geometric figures made with straight lines. &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; Sum of interior angels The sum of the interior angles of a convex polygon of \u2018n\u2019 sides is given as: S = (n \u2013 2) \u00d7 180\u00b0 Examples: Triangle has 3 sides, sum of interior angles is (3 \u2013 2) \u00d7 [&hellip;]<\/p>\n","protected":false},"author":19,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"inline_featured_image":false,"footnotes":""},"categories":[10],"tags":[98,636,954,1778],"class_list":["post-508","post","type-post","status-publish","format-standard","hentry","category-geometry","tag-anglesofpolygons","tag-exteriorangleofpolygon","tag-interioranglesofpolygon","tag-sumofinterioranglesofpolygon"],"acf":[],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/schooltutoring.com\/scholarship\/wp-json\/wp\/v2\/posts\/508","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/schooltutoring.com\/scholarship\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/schooltutoring.com\/scholarship\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/schooltutoring.com\/scholarship\/wp-json\/wp\/v2\/users\/19"}],"replies":[{"embeddable":true,"href":"https:\/\/schooltutoring.com\/scholarship\/wp-json\/wp\/v2\/comments?post=508"}],"version-history":[{"count":0,"href":"https:\/\/schooltutoring.com\/scholarship\/wp-json\/wp\/v2\/posts\/508\/revisions"}],"wp:attachment":[{"href":"https:\/\/schooltutoring.com\/scholarship\/wp-json\/wp\/v2\/media?parent=508"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/schooltutoring.com\/scholarship\/wp-json\/wp\/v2\/categories?post=508"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/schooltutoring.com\/scholarship\/wp-json\/wp\/v2\/tags?post=508"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}