SOLUTION: two angles are complementary. the measure of one is 4/5 the measure of the other one. find each angle.

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Question 905971: two angles are complementary. the measure of one is 4/5 the measure of the other one. find each angle.

Found 2 solutions by rfer, Math_Boss:
Answer by rfer(16322) About Me  (Show Source):
You can put this solution on YOUR website!
x+4/5x=90
1 4/5x=90
x=90/(9/5)
x=90*5/9
x=50
4/5x=40

Answer by Math_Boss(45) About Me  (Show Source):
You can put this solution on YOUR website!
x%2By=90 "two angles are complementary"
y=%284%2F5%29%2Ax "the measure of one is 4/5 the measure of the other one"
y=0.8x
Substitute y=(0.8x)
x%2B%280.8x%29=90
1.8x=90
x=50
y=0.8%2A50=40
Ans:50 and 40