{"id":164826,"date":"2024-03-19T14:29:54","date_gmt":"2024-03-19T08:59:54","guid":{"rendered":"https:\/\/www.gkseries.com\/blog\/?p=164826"},"modified":"2024-03-19T14:29:57","modified_gmt":"2024-03-19T08:59:57","slug":"sides-pq-and-sr-of-a-cyclic-quadrilateral-pqrs-are-produced-to-meet-at-t-and-sides-ps-and-qr-are-produced-to-meet-at","status":"publish","type":"post","link":"https:\/\/www.gkseries.com\/blog\/sides-pq-and-sr-of-a-cyclic-quadrilateral-pqrs-are-produced-to-meet-at-t-and-sides-ps-and-qr-are-produced-to-meet-at\/","title":{"rendered":"Sides PQ and SR of a cyclic quadrilateral PQRS are produced to meet at T and sides PS and QR are produced to meet at"},"content":{"rendered":"\n<p> <p class=\"MsoNormal\">Sides PQ and SR of a cyclic quadrilateral PQRS are produced to meet at T and sides PS and QR are produced to meet at U. If <span style=\"font-family:&quot;Cambria Math&quot;,serif;mso-bidi-font-family:&quot;Cambria Math&quot;\">\u2220<\/span>PST = 87\u00b0 and <span style=\"font-family:&quot;Cambria Math&quot;,serif;\nmso-bidi-font-family:&quot;Cambria Math&quot;\">\u2220<\/span> QTR = 41\u00b0 , then the difference between <span style=\"font-family:&quot;Cambria Math&quot;,serif;\nmso-bidi-font-family:&quot;Cambria Math&quot;\">\u2220<\/span> QPS and <span style=\"font-family:\n&quot;Cambria Math&quot;,serif;mso-bidi-font-family:&quot;Cambria Math&quot;\">\u2220<\/span> SUR is<\/p> <p class=\"MsoNormal\">a) 15\u00b0<\/p> <p class=\"MsoNormal\">b) 23\u00b0<\/p> <p class=\"MsoNormal\"><b>c) 17\u00b0<\/b><\/p> <p class=\"MsoNormal\">d) 19\u00b0<\/p> <p class=\"MsoNormal\">Sol:<\/p> <\/p>\n\n\n\n<figure class=\"wp-block-image size-large is-resized\"><img decoding=\"async\" width=\"1007\" height=\"1024\" src=\"https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/03\/image-144-1007x1024.png\" alt=\"\" class=\"wp-image-164827\" style=\"width:197px;height:auto\" srcset=\"https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/03\/image-144-1007x1024.png 1007w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/03\/image-144-295x300.png 295w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/03\/image-144-768x781.png 768w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/03\/image-144-1510x1536.png 1510w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/03\/image-144-2013x2048.png 2013w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/03\/image-144-147x150.png 147w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/03\/image-144-100x102.png 100w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/03\/image-144-344x350.png 344w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/03\/image-144-788x801.png 788w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/03\/image-144.png 232w\" sizes=\"(max-width: 1007px) 100vw, 1007px\" \/><\/figure>\n\n\n\n<p>Required Difference = 52\u00b0 &#8211; 35\u00b0 = 17\u00b0<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Sides PQ and SR of a cyclic quadrilateral PQRS are produced to meet at T and sides PS and QR are produced to meet at U. If \u2220PST = 87\u00b0 and \u2220 QTR = 41\u00b0 , then the difference between \u2220 QPS and \u2220 SUR is a) 15\u00b0 b) 23\u00b0 c) 17\u00b0 d) 19\u00b0 Sol: [&hellip;]<\/p>\n","protected":false},"author":419,"featured_media":164828,"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-164826","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\/164826","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=164826"}],"version-history":[{"count":1,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/164826\/revisions"}],"predecessor-version":[{"id":164829,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/164826\/revisions\/164829"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media\/164828"}],"wp:attachment":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media?parent=164826"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/categories?post=164826"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/tags?post=164826"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}