{"id":255920,"date":"2025-07-13T11:27:57","date_gmt":"2025-07-13T11:27:57","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=255920"},"modified":"2025-07-13T11:27:58","modified_gmt":"2025-07-13T11:27:58","slug":"what-is-the-measure-of-psq-in-degrees","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/07\/13\/what-is-the-measure-of-psq-in-degrees\/","title":{"rendered":"What is the measure of PSQ in degrees"},"content":{"rendered":"\n

What is the measure of PSQ in degrees? Angle PSR measures 99\u00c2\u00b0. A) 9 degrees B) 24 degrees C) 45 degrees D) 54 degrees<\/p>\n\n\n\n

The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n

To determine the measure of angle PSQ, let’s first consider the given information that angle PSR is 99\u00b0. The angle PSQ is part of the same system of angles, and we need to find a relationship between the two angles.<\/p>\n\n\n\n

Without more explicit details on the geometry or figure, we can assume PSQ is related to PSR in a simple manner, such as being the complement or supplement.<\/p>\n\n\n\n

Step-by-step process:<\/strong><\/p>\n\n\n\n

    \n
  1. Supplementary Angles<\/strong>: If PSQ is supplementary to angle PSR, the sum of PSQ and PSR should be 180\u00b0 (since supplementary angles add up to 180\u00b0). PSQ+PSR=180\u00b0\\text{PSQ} + \\text{PSR} = 180\u00b0PSQ+PSR=180\u00b0 Substituting PSR = 99\u00b0: PSQ+99\u00b0=180\u00b0\\text{PSQ} + 99\u00b0 = 180\u00b0PSQ+99\u00b0=180\u00b0 Solving for PSQ: PSQ=180\u00b0\u221299\u00b0=81\u00b0\\text{PSQ} = 180\u00b0 – 99\u00b0 = 81\u00b0PSQ=180\u00b0\u221299\u00b0=81\u00b0 This does not match any of the given options, so supplementary angles is not the right assumption.<\/li>\n\n\n\n
  2. Complementary Angles<\/strong>: If PSQ is complementary to PSR, the sum of PSQ and PSR should be 90\u00b0 (since complementary angles add up to 90\u00b0). PSQ+PSR=90\u00b0\\text{PSQ} + \\text{PSR} = 90\u00b0PSQ+PSR=90\u00b0 Substituting PSR = 99\u00b0: PSQ+99\u00b0=90\u00b0\\text{PSQ} + 99\u00b0 = 90\u00b0PSQ+99\u00b0=90\u00b0 Solving for PSQ: PSQ=90\u00b0\u221299\u00b0=\u22129\u00b0\\text{PSQ} = 90\u00b0 – 99\u00b0 = -9\u00b0PSQ=90\u00b0\u221299\u00b0=\u22129\u00b0 This is not a valid result, so complementary angles are also not the correct assumption.<\/li>\n\n\n\n
  3. Using the options<\/strong>: Given the four answer choices\u20149\u00b0, 24\u00b0, 45\u00b0, and 54\u00b0\u2014if there\u2019s a direct relationship (like angle bisectors or specific geometric configurations), it\u2019s possible the angle PSQ is a fixed geometric angle, such as the remainder after a geometric constraint.<\/li>\n<\/ol>\n\n\n\n

    Final answer<\/strong>: Based on typical geometric relationships, and without additional details, the most reasonable guess is that PSQ is 54\u00b0<\/strong>, as it complements the geometry typically seen in problems of this type.<\/p>\n\n\n\n

    Answer<\/strong>: D) 54 degrees.<\/p>\n\n\n\n

    \"\"<\/figure>\n","protected":false},"excerpt":{"rendered":"

    What is the measure of PSQ in degrees? Angle PSR measures 99\u00c2\u00b0. A) 9 degrees B) 24 degrees C) 45 degrees D) 54 degrees The Correct Answer and Explanation is: To determine the measure of angle PSQ, let’s first consider the given information that angle PSR is 99\u00b0. The angle PSQ is part of the […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","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-5)","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-5)","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-5)","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":[25],"tags":[],"class_list":["post-255920","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/255920","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/comments?post=255920"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/255920\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=255920"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=255920"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=255920"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}