SOLUTION: Two angles are complementary. The larger of the two is 42° more than twice the smaller. Find the 2 angles.

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Question 890992: Two angles are complementary. The larger of the two is 42° more than twice the smaller. Find the 2 angles.
Answer by Tatiana_Stebko(1539) About Me  (Show Source):
You can put this solution on YOUR website!
Let x be the smaller angle, then the larger angle is 2x%2B42%29. Two angles are complementary, therefore x%2B%282x%2B42%29=90
x%2B2x%2B42=90
3x=90-42
3x=48
x=48%2F3
x=16°-the smaller angle
the larger angle is 2%2A16%2B42=74%29°
Check: 16+74=90
Answer:16° and 74°