{"id":261768,"date":"2025-07-20T08:33:03","date_gmt":"2025-07-20T08:33:03","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=261768"},"modified":"2025-07-20T08:33:04","modified_gmt":"2025-07-20T08:33:04","slug":"find-angles-a-c","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/07\/20\/find-angles-a-c\/","title":{"rendered":"Find angles A, C."},"content":{"rendered":"\n

Find angles A, C. B 50\u00b0 4x+10 C 8x A<\/p>\n\n\n\n

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

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

To solve for angles A and C in the triangle, we will use the fact that the sum of the angles in any triangle is 180\u00b0.<\/p>\n\n\n\n

Given:<\/h3>\n\n\n\n
    \n
  • Angle B = 50\u00b0<\/li>\n\n\n\n
  • Angle A = 8x (where x is a variable)<\/li>\n\n\n\n
  • Angle C = 4x + 10<\/li>\n<\/ul>\n\n\n\n

    Step 1: Use the sum of angles in a triangle<\/h3>\n\n\n\n

    We know that the sum of all angles in a triangle is 180\u00b0. Therefore, we can write: Angle A+Angle B+Angle C=180\u00b0\\text{Angle A} + \\text{Angle B} + \\text{Angle C} = 180\u00b0Angle A+Angle B+Angle C=180\u00b0<\/p>\n\n\n\n

    Substitute the given values for angles A, B, and C: 8x+50+(4x+10)=1808x + 50 + (4x + 10) = 1808x+50+(4x+10)=180<\/p>\n\n\n\n

    Step 2: Simplify the equation<\/h3>\n\n\n\n

    8x+50+4x+10=1808x + 50 + 4x + 10 = 1808x+50+4x+10=180 12x+60=18012x + 60 = 18012x+60=180<\/p>\n\n\n\n

    Step 3: Solve for x<\/h3>\n\n\n\n

    Subtract 60 from both sides: 12x=12012x = 12012x=120<\/p>\n\n\n\n

    Now, divide both sides by 12: x=10x = 10x=10<\/p>\n\n\n\n

    Step 4: Calculate the angles<\/h3>\n\n\n\n
      \n
    • Angle A<\/strong> = 8x = 8 * 10 = 80\u00b0<\/li>\n\n\n\n
    • Angle C<\/strong> = 4x + 10 = 4 * 10 + 10 = 40 + 10 = 50\u00b0<\/li>\n<\/ul>\n\n\n\n

      Conclusion:<\/h3>\n\n\n\n
        \n
      • Angle A<\/strong> = 80\u00b0<\/li>\n\n\n\n
      • Angle C<\/strong> = 50\u00b0<\/li>\n<\/ul>\n\n\n\n
        \"\"<\/figure>\n","protected":false},"excerpt":{"rendered":"

        Find angles A, C. B 50\u00b0 4x+10 C 8x A The Correct Answer and Explanation is: To solve for angles A and C in the triangle, we will use the fact that the sum of the angles in any triangle is 180\u00b0. Given: Step 1: Use the sum of angles in a triangle We know […]<\/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-261768","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/261768","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=261768"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/261768\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=261768"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=261768"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=261768"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}