{"id":37303,"date":"2025-06-25T15:04:41","date_gmt":"2025-06-25T15:04:41","guid":{"rendered":"https:\/\/gaviki.com\/blog\/?p=37303"},"modified":"2025-06-25T18:36:24","modified_gmt":"2025-06-25T18:36:24","slug":"what-are-the-measures-of-the-angles-complement-and-supplement","status":"publish","type":"post","link":"https:\/\/gaviki.com\/blog\/what-are-the-measures-of-the-angles-complement-and-supplement\/","title":{"rendered":"An angle measures 53\u00b0."},"content":{"rendered":"\n<p>An angle measures 53\u00b0. What are the measures of the angle\u2019s complement and supplement? A. complement, 37\u00b0; supplement, 137\u00b0 B. complement, 127\u00b0; supplement, 47\u00b0 C. complement, 37\u00b0; supplement, 127\u00b0 D. complement, 127\u00b0; supplement, 37\u00b0<\/p>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-cyan-blue-color\">The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p>To find the <strong>complement<\/strong> and <strong>supplement<\/strong> of a given angle, you use two basic definitions:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Complementary angles<\/strong> are two angles whose measures add up to <strong>90 degrees<\/strong>.<\/li>\n\n\n\n<li><strong>Supplementary angles<\/strong> are two angles whose measures add up to <strong>180 degrees<\/strong>.<\/li>\n<\/ul>\n\n\n\n<p>In this case, the given angle is <strong>53\u00b0<\/strong>.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 1: Find the complement<\/h3>\n\n\n\n<p>To find the complement, subtract the given angle from 90\u00b0:90\u00b0\u221253\u00b0=37\u00b090\u00b0 &#8211; 53\u00b0 = 37\u00b090\u00b0\u221253\u00b0=37\u00b0<\/p>\n\n\n\n<p>So, the <strong>complement of 53\u00b0 is 37\u00b0<\/strong>.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 2: Find the supplement<\/h3>\n\n\n\n<p>To find the supplement, subtract the given angle from 180\u00b0:180\u00b0\u221253\u00b0=127\u00b0180\u00b0 &#8211; 53\u00b0 = 127\u00b0180\u00b0\u221253\u00b0=127\u00b0<\/p>\n\n\n\n<p>So, the <strong>supplement of 53\u00b0 is 127\u00b0<\/strong>.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Final Answer:<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Complement: <strong>37\u00b0<\/strong><\/li>\n\n\n\n<li>Supplement: <strong>127\u00b0<\/strong><\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">Correct Choice:<\/h3>\n\n\n\n<p><strong>C. complement, 37\u00b0; supplement, 127\u00b0<\/strong><\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation:<\/h3>\n\n\n\n<p>The concept of complementary and supplementary angles is foundational in geometry. Complementary angles often appear when working with right triangles or perpendicular lines. Supplementary angles frequently arise when dealing with straight lines or adjacent angles on a straight angle.<\/p>\n\n\n\n<p>Knowing how to find complements and supplements helps in solving problems involving unknown angles, parallel lines cut by a transversal, and properties of polygons. For any angle less than 90\u00b0, you can always find a complement. For any angle less than 180\u00b0, you can always find a supplement. Since 53\u00b0 is less than both 90\u00b0 and 180\u00b0, both complement and supplement exist in this case.<\/p>\n\n\n\n<p>This understanding supports problem-solving in geometry, trigonometry, and even in real-life applications like design and construction where precise angle measurements are crucial.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"852\" height=\"1024\" src=\"https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-870.jpeg\" alt=\"\" class=\"wp-image-37304\" srcset=\"https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-870.jpeg 852w, https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-870-250x300.jpeg 250w, https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-870-768x923.jpeg 768w\" sizes=\"auto, (max-width: 852px) 100vw, 852px\" \/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>An angle measures 53\u00b0. What are the measures of the angle\u2019s complement and supplement? A. complement, 37\u00b0; supplement, 137\u00b0 B. complement, 127\u00b0; supplement, 47\u00b0 C. complement, 37\u00b0; supplement, 127\u00b0 D. complement, 127\u00b0; supplement, 37\u00b0 The Correct Answer and Explanation is: To find the complement and supplement of a given angle, you use two basic definitions: [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-37303","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/37303","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/comments?post=37303"}],"version-history":[{"count":2,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/37303\/revisions"}],"predecessor-version":[{"id":37391,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/37303\/revisions\/37391"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=37303"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=37303"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=37303"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}