Angle X and angle Y are complementary angles. The measure of angle Y is 6 less than twice the measure of angle X . What is the measure of each angle?<\/p>\n\n\n\n
The correct answer and explanation is:<\/mark><\/strong><\/p>\n\n\n\n Let’s define the measures of angle X and angle Y.<\/p>\n\n\n\n We are told that angle X and angle Y are complementary, meaning their sum is 90 degrees: X+Y=90X + Y = 90<\/p>\n\n\n\n Also, we know that angle Y is 6 degrees less than twice the measure of angle X: Y=2X\u22126Y = 2X – 6<\/p>\n\n\n\n Now, substitute the second equation into the first equation: X+(2X\u22126)=90X + (2X – 6) = 90<\/p>\n\n\n\n Simplify: 3X\u22126=903X – 6 = 90<\/p>\n\n\n\n Add 6 to both sides: 3X=963X = 96<\/p>\n\n\n\n Now, divide both sides by 3: X=32X = 32<\/p>\n\n\n\n Now that we know the measure of angle X is 32 degrees, substitute this value back into the equation for Y: Y=2(32)\u22126=64\u22126=58Y = 2(32) – 6 = 64 – 6 = 58<\/p>\n\n\n\n Therefore, the measure of angle X is 32 degrees, and the measure of angle Y is 58 degrees.<\/p>\n\n\n\n Explanation: Angle X and angle Y are complementary angles. The measure of angle Y is 6 less than twice the measure of angle X . What is the measure of each angle? The correct answer and explanation is: Let’s define the measures of angle X and angle Y. We are told that angle X and angle […]<\/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-44757","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/44757","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=44757"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/44757\/revisions"}],"predecessor-version":[{"id":44761,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/44757\/revisions\/44761"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=44757"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=44757"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=44757"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
Since complementary angles sum up to 90 degrees, we can use this property to set up an equation. We also used the relationship that angle Y is 6 less than twice the measure of angle X to create a second equation. By solving the system of equations, we found that angle X is 32 degrees, and angle Y is 58 degrees.<\/p>\n","protected":false},"excerpt":{"rendered":"