Question 160131: What are the measures of two complementary angles if the difference in the measures of the two angles is 12? Answer by nerdybill(7384) (Show Source):
You can put this solution on YOUR website! What are the measures of two complementary angles if the difference in the measures of the two angles is 12?
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if two angles are complementary, then the sum is 90 deg.
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Let x = larger of the two angles
then
90-x = smaller of the two
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x - (90-x) = 12
x - 90 + x = 12
2x - 90 = 12
2x = 102
x = 51 deg (larger angle)
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smaller angle:
90-x = 90-51 = 39 deg
