SOLUTION: Help! One of two complementary angles is 20% larger then the other. find the measure of each.

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Question 907660: Help! One of two complementary angles is 20% larger then the other. find the measure of each.
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

complementary angles mean the sum of at least two angles equals 90

assuming we are using variables you would use x to be the larger angle measure, and it's 20% larger then the other angle which means the other angle is +%28x-%2820%2F100%29+x%29
so, we have:
90+=+x+%2B+%28x-%2820%2F100%29+x%29 ....solve for x
90+=+x+%2B+%28x-0.2x%29
90+=+x+%2B+0.8x
90+=++1.8x
90%2F1.8=x
900%2F18=x
50=x
now, the other angle is +%28x-%2820%2F100%29+x%29+
%28x-%2820%2F100%29+x%29=+50-0.2+50
%28x-%2820%2F100%29+x%29=+50-10
%28x-%2820%2F100%29+x%29=+40
so, complementary angles are 50 degree and 40 degree