(c) 60 \u00b0<\/p>\n\n\n\n
(d) 54 \u00b0<\/p>\n\n\n\n
Sol:<\/p>\n\n\n\n
Given: <\/p>\n\n\n\n
Sides of pentagon BA and DE extended to meet at F. <\/p>\n\n\n\n
Concept used: S<\/p>\n\n\n\n
Sum of interior angles of a regular pentagon is 540\u00b0. <\/p>\n\n\n\n
Each interior angle = 180(n \u2013 2)\/n <\/p>\n\n\n\n
Where, n = number of sides Sum of all angles in a triangle is 180\u00b0. <\/p>\n\n\n\n
Sum of angles of a straight line is 180\u00b0.<\/p>\n\n\n\n BA extended up to F.<\/p>\n\n\n\n DE extended up to F. <\/p>\n\n\n\n Each interior angle of the pentagon = 180(5 \u2013 2)\/5 <\/p>\n\n\n\n Each interior angle of the pentagon = 108\u00b0 <\/p>\n\n\n\n Each angle of a regular pentagon is 108\u00b0. <\/p>\n\n\n\n BF forms a straight line. <\/p>\n\n\n\n \u21d2 \u2220BAE + \u2220EAF = 180\u00b0 <\/p>\n\n\n\n \u21d2 \u2220EAF = 180\u00b0 – 108\u00b0 <\/p>\n\n\n\n \u21d2 \u2220EAF = 72\u00b0<\/p>\n\n\n\n DF forms a straight line. <\/p>\n\n\n\n \u21d2 \u2220DEA + \u2220AEF = 180\u00b0 <\/p>\n\n\n\n \u21d2 \u2220AEF = 180\u00b0 – 108\u00b0 <\/p>\n\n\n\n \u21d2 \u2220AEF = 72\u00b0 In \u0394AEF <\/p>\n\n\n\n \u21d2 \u2220AEF + \u2220EAF + \u2220EFA = 180\u00b0 <\/p>\n\n\n\n \u21d2 \u2220EFA = 180\u00b0 – 72\u00b0 – 72\u00b0 <\/p>\n\n\n\n \u21d2 \u2220EFA = 36\u00b0<\/p>\n","protected":false},"excerpt":{"rendered":" The sides BA and DE of a regular pentagon are produced to meet at F. What is the measure of angle \u2220EFA? (a) 72 \u00b0 (b) 36 \u00b0 (c) 60 \u00b0 (d) 54 \u00b0 Sol: Given: Sides of pentagon BA and DE extended to meet at F. Concept used: S Sum of interior angles of […]<\/p>\n","protected":false},"author":419,"featured_media":167061,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[5138],"tags":[5139],"class_list":["post-167050","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-quantitative-aptitude","tag-quantitative-aptitude"],"_links":{"self":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/167050","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/users\/419"}],"replies":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/comments?post=167050"}],"version-history":[{"count":1,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/167050\/revisions"}],"predecessor-version":[{"id":167062,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/167050\/revisions\/167062"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media\/167061"}],"wp:attachment":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media?parent=167050"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/categories?post=167050"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/tags?post=167050"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}![\"\"](\"https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/04\/image-274-972x1024.png\")
<\/figure>\n\n\n\n