MathDB
Angle Ratios

Source: Problem #7 2016 AMC 10B

February 21, 2016
ratioAMCAMC 102016 AMC 10BAMC 10 BBernie Sanders

Problem Statement

The ratio of the measures of two acute angles is 5:45:4, and the complement of one of these two angles is twice as large as the complement of the other. What is the sum of the degree measures of the two angles?
<spanclass=latexbold>(A)</span> 75<spanclass=latexbold>(B)</span> 90<spanclass=latexbold>(C)</span> 135<spanclass=latexbold>(D)</span> 150<spanclass=latexbold>(E)</span> 270<span class='latex-bold'>(A)</span>\ 75\qquad<span class='latex-bold'>(B)</span>\ 90\qquad<span class='latex-bold'>(C)</span>\ 135\qquad<span class='latex-bold'>(D)</span>\ 150\qquad<span class='latex-bold'>(E)</span>\ 270