{"id":167033,"date":"2024-04-24T13:33:11","date_gmt":"2024-04-24T08:03:11","guid":{"rendered":"https:\/\/www.gkseries.com\/blog\/?p=167033"},"modified":"2024-04-24T13:33:12","modified_gmt":"2024-04-24T08:03:12","slug":"if-the-measure-of-each-exterior-angle-of-a-regular-polygon-is-513-7-the-ratio-of-the-number-of-its-diagonals-to-the","status":"publish","type":"post","link":"https:\/\/www.gkseries.com\/blog\/if-the-measure-of-each-exterior-angle-of-a-regular-polygon-is-513-7-the-ratio-of-the-number-of-its-diagonals-to-the\/","title":{"rendered":"If the measure of each exterior angle of a regular polygon is 51(3\/7), the ratio of the number of its diagonals to the"},"content":{"rendered":"\n<p>If the measure of each exterior angle of a regular polygon is 51(3\/7), the ratio of the number of its diagonals to the number of its sides is.<\/p>\n\n\n\n<p>(a)&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 13:6<\/p>\n\n\n\n<p>(b)&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 5:2<\/p>\n\n\n\n<p>(c)&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 3:1<\/p>\n\n\n\n<p><strong>(d)&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 2:1<\/strong><\/p>\n\n\n\n<p>Sol:<\/p>\n\n\n\n<figure class=\"wp-block-image size-large is-resized\"><img decoding=\"async\" width=\"935\" height=\"1024\" src=\"https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/04\/image-273-935x1024.png\" alt=\"\" class=\"wp-image-167038\" style=\"width:147px;height:auto\" srcset=\"https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/04\/image-273-935x1024.png 935w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/04\/image-273-274x300.png 274w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/04\/image-273-767x840.png 767w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/04\/image-273-1403x1536.png 1403w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/04\/image-273-1870x2048.png 1870w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/04\/image-273-137x150.png 137w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/04\/image-273-100x110.png 100w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/04\/image-273-320x350.png 320w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/04\/image-273-788x862.png 788w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/04\/image-273.png 200w\" sizes=\"(max-width: 935px) 100vw, 935px\" \/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>If the measure of each exterior angle of a regular polygon is 51(3\/7), the ratio of the number of its diagonals to the number of its sides is. (a)&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 13:6 (b)&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 5:2 (c)&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 3:1 (d)&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 2:1 Sol:<\/p>\n","protected":false},"author":419,"featured_media":167047,"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-167033","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\/167033","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=167033"}],"version-history":[{"count":1,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/167033\/revisions"}],"predecessor-version":[{"id":167048,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/167033\/revisions\/167048"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media\/167047"}],"wp:attachment":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media?parent=167033"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/categories?post=167033"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/tags?post=167033"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}