SOLUTION: the measures of two complementary angles are in the ratio 4:1. what is the measure of the smaller angle?

Question 324825: the measures of two complementary angles are in the ratio 4:1. what is the measure of the smaller angle?
Found 2 solutions by stanbon, checkley77:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
the measures of two complementary angles are in the ratio 4:1. what is the measure of the smaller angle?
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4:1 is the same as 4x:x
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Since the angles are complementary,
4x+x = 90
5x = 90
x = 18 degrees (smaller angle)
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Cheers,
Stan H.
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Answer by checkley77(12844) (Show Source): You can put this solution on YOUR website!
4R+1R=5R
5R=90
R=90/5
R=18 DEGREES ANS. FOR THE SMALLER ANGLE.
4R=4*18=72 DEGREES FOR THE LARGER ANGLE.
PROOF:
18+72=90
4:1=72:18
72=4*18
72=72
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