Difference between revisions of "2016 AMC 10B Problems/Problem 7"
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<math>\textbf{(A)}\ 75\qquad\textbf{(B)}\ 90\qquad\textbf{(C)}\ 135\qquad\textbf{(D)}\ 150\qquad\textbf{(E)}\ 270</math> | <math>\textbf{(A)}\ 75\qquad\textbf{(B)}\ 90\qquad\textbf{(C)}\ 135\qquad\textbf{(D)}\ 150\qquad\textbf{(E)}\ 270</math> | ||
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| + | ==Solution== | ||
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| + | Set up a system of equations where <math>x</math> and <math>y</math> are the two acute angles with the assumption that <math>x</math> <math><</math> <math>y</math>: | ||
| + | <math>5x</math> <math>=</math> <math>4y</math> | ||
Revision as of 12:37, 21 February 2016
Problem
The ratio of the measures of two acute angles is 
, 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?
Solution
Set up a system of equations where 
and 
are the two acute angles with the assumption that 
:
