SOLUTION: The ratio of the measure of two complementary angles is 4:5. What are the measures of the angles?
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Question 284965
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The ratio of the measure of two complementary angles is 4:5. What are the measures of the angles?
Answer by
checkley77(12844)
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4N+5N=90
9N=90
N=90/9
N=10
N IS THE MULTIPLIER FOR THE RATIOS.
4*10=40
5*10=50
PROOF:
40+50=90
4:5=40:50
4:5=4:5
AN ALTERNATE METHOD IS:
4/5=X/(90-X)
5X=4(90-X)
5X=360-4X
9X=360
X=40 ANS.
90-40=50 ANS.