{"id":255916,"date":"2025-07-13T11:21:40","date_gmt":"2025-07-13T11:21:40","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=255916"},"modified":"2025-07-13T11:21:42","modified_gmt":"2025-07-13T11:21:42","slug":"unit-test-nit-test-active-1-angle-psr-measures-99","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/07\/13\/unit-test-nit-test-active-1-angle-psr-measures-99\/","title":{"rendered":"Unit Test nit Test Active 1 Angle PSR measures 99\u00b0"},"content":{"rendered":"\n<p>Unit Test nit Test Active 1 Angle PSR measures 99\u00b0. What is the measu 9\u00b0 24\u00b0 45\u00b0 54\u00b0 P (3x + 18)\u00b0 (9x &#8211; 27)\u00b0 R S Mark this and return<\/p>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-0-color\">The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p>To find the measure of the angle at PPP given that the angle at PSRPSRPSR measures 99\u00b0, we can use the angle relationships and algebraic expressions provided.<\/p>\n\n\n\n<p>We have the following angles:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u2220PSR=99\u2218\\angle PSR = 99^\\circ\u2220PSR=99\u2218<\/li>\n\n\n\n<li>\u2220P=(3x+18)\u2218\\angle P = (3x + 18)^\\circ\u2220P=(3x+18)\u2218<\/li>\n\n\n\n<li>\u2220R=(9x\u221227)\u2218\\angle R = (9x &#8211; 27)^\\circ\u2220R=(9x\u221227)\u2218<\/li>\n<\/ul>\n\n\n\n<p>Since angles PPP, SSS, and RRR form a linear pair (they lie on a straight line), the sum of the angles PPP, SSS, and RRR should equal 180\u00b0. So, the equation we can use is: \u2220P+\u2220PSR+\u2220R=180\u2218\\angle P + \\angle PSR + \\angle R = 180^\\circ\u2220P+\u2220PSR+\u2220R=180\u2218<\/p>\n\n\n\n<p>Substituting the known values into the equation: (3x+18)+99+(9x\u221227)=180(3x + 18) + 99 + (9x &#8211; 27) = 180(3x+18)+99+(9x\u221227)=180<\/p>\n\n\n\n<p>Now, simplify the equation step by step: 3x+18+99+9x\u221227=1803x + 18 + 99 + 9x &#8211; 27 = 1803x+18+99+9x\u221227=180 (3x+9x)+(18+99\u221227)=180(3x + 9x) + (18 + 99 &#8211; 27) = 180(3x+9x)+(18+99\u221227)=180 12x+90=18012x + 90 = 18012x+90=180<\/p>\n\n\n\n<p>Now, solve for xxx: 12x=180\u22129012x = 180 &#8211; 9012x=180\u221290 12x=9012x = 9012x=90 x=9012=7.5x = \\frac{90}{12} = 7.5x=1290\u200b=7.5<\/p>\n\n\n\n<p>Now that we know x=7.5x = 7.5x=7.5, we can substitute this value back into the expressions for \u2220P\\angle P\u2220P and \u2220R\\angle R\u2220R: \u2220P=3(7.5)+18=22.5+18=40.5\u2218\\angle P = 3(7.5) + 18 = 22.5 + 18 = 40.5^\\circ\u2220P=3(7.5)+18=22.5+18=40.5\u2218 \u2220R=9(7.5)\u221227=67.5\u221227=40.5\u2218\\angle R = 9(7.5) &#8211; 27 = 67.5 &#8211; 27 = 40.5^\\circ\u2220R=9(7.5)\u221227=67.5\u221227=40.5\u2218<\/p>\n\n\n\n<p>Thus, the measure of \u2220P\\angle P\u2220P is <strong>40.5\u00b0<\/strong> and the measure of \u2220R\\angle R\u2220R is <strong>40.5\u00b0<\/strong>. Both of these angle measures check out with the sum of 180\u00b0, as: 40.5+99+40.5=180\u221840.5 + 99 + 40.5 = 180^\\circ40.5+99+40.5=180\u2218<\/p>\n\n\n\n<p>The correct answer is \u2220P=40.5\u2218\\angle P = 40.5^\\circ\u2220P=40.5\u2218.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/07\/learnexams-banner6-523.jpeg\" alt=\"\" class=\"wp-image-255917\"\/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>Unit Test nit Test Active 1 Angle PSR measures 99\u00b0. What is the measu 9\u00b0 24\u00b0 45\u00b0 54\u00b0 P (3x + 18)\u00b0 (9x &#8211; 27)\u00b0 R S Mark this and return The Correct Answer and Explanation is: To find the measure of the angle at PPP given that the angle at PSRPSRPSR measures 99\u00b0, we [&hellip;]<\/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-255916","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/255916","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=255916"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/255916\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=255916"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=255916"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=255916"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}