SOLUTION: Two angles are complementary. The measure of the larger angle is 5° more than sixteen times the measure of the smaller angle. Find the measures of the two angles. (Complementary

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Question 712069:
Two angles are complementary. The measure of the larger angle is 5° more than sixteen times the measure of the smaller angle. Find the measures of the two angles. (Complementary angles are two angles whose sum is 90°.)
Answer by checkley79(3341) About Me  (Show Source):
You can put this solution on YOUR website!
X+Y=90
X=16Y+5
16Y+5+Y=90
17Y=90-5
17Y=85
Y=85/17
Y=5 DEGREES FOR THE SMALLER ANGLE.
X+5=90
X=90-5
X=85 DEGREES FOR THE LARGER ANGLE.
PROOF:
85=16*5+5
85=80+5
85=85