{"id":262852,"date":"2025-07-20T19:45:23","date_gmt":"2025-07-20T19:45:23","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=262852"},"modified":"2025-07-20T19:48:19","modified_gmt":"2025-07-20T19:48:19","slug":"determine-the-value-of-x-in-the-diagram-below-2-5x-55-2x-100","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/07\/20\/determine-the-value-of-x-in-the-diagram-below-2-5x-55-2x-100\/","title":{"rendered":"Determine the value of x in the diagram below 2 5x + 55\u00b0 2x + 100\u00b0"},"content":{"rendered":"\n

Determine the value of x in the diagram below 2 5x + 55\u00b0 2x + 100\u00b0 Show Your Work 2<\/p>\n\n\n\n

The Correct Answer and Explanation is:<\/strong>1<\/a><\/sup><\/p>\n\n\n\n

\"\"<\/figure>\n\n\n\n\n\n

To determine the value of xxx in this problem, we need to rely on the fact that angles around a point or a line must add up to 180\u00b0 or 360\u00b0, depending on the situation. In this case, we\u2019re working with a pair of angles that form a linear pair.<\/p>\n\n\n\n

You have two expressions for the angles:<\/p>\n\n\n\n

    \n
  • One angle: 5x+55\u22185x + 55^\\circ5x+55\u2218<\/li>\n\n\n\n
  • The other angle: 2x+100\u22182x + 100^\\circ2x+100\u2218<\/li>\n<\/ul>\n\n\n\n

    These two angles are supplementary (i.e., they add up to 180\u00b0), so we can set up an equation: (5x+55\u2218)+(2x+100\u2218)=180\u2218(5x + 55^\\circ) + (2x + 100^\\circ) = 180^\\circ(5x+55\u2218)+(2x+100\u2218)=180\u2218<\/p>\n\n\n\n

    Step 1: Combine like terms<\/h3>\n\n\n\n

    We\u2019ll add the terms involving xxx and the constant terms together: 5x+2x+55\u2218+100\u2218=180\u22185x + 2x + 55^\\circ + 100^\\circ = 180^\\circ5x+2x+55\u2218+100\u2218=180\u2218 7x+155\u2218=180\u22187x + 155^\\circ = 180^\\circ7x+155\u2218=180\u2218<\/p>\n\n\n\n

    Step 2: Solve for xxx<\/h3>\n\n\n\n

    Now, we\u2019ll isolate xxx. First, subtract 155\u00b0 from both sides: 7x=180\u2218\u2212155\u22187x = 180^\\circ – 155^\\circ7x=180\u2218\u2212155\u2218 7x=25\u22187x = 25^\\circ7x=25\u2218<\/p>\n\n\n\n

    Next, divide both sides by 7: x=25\u22187x = \\frac{25^\\circ}{7}x=725\u2218\u200b x\u22483.57\u2218x \\approx 3.57^\\circx\u22483.57\u2218<\/p>\n\n\n\n

    Conclusion:<\/h3>\n\n\n\n
    \"\"<\/figure>\n\n\n\n

    The value of xxx is approximately 3.57\u22183.57^\\circ3.57\u2218.<\/p>\n\n\n\n

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

    Determine the value of x in the diagram below 2 5x + 55\u00b0 2x + 100\u00b0 Show Your Work 2 The Correct Answer and Explanation is:1 To determine the value of xxx in this problem, we need to rely on the fact that angles around a point or a line must add up to 180\u00b0 […]<\/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-262852","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/262852","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=262852"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/262852\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=262852"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=262852"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=262852"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}