SOLUTION: The measures of two supplementary angles are in the ratio of 4:5. Find the number of degrees in the measure of the smaller angle A. 20 B. 80 C. 100 D. 180

Algebra ->  Angles -> SOLUTION: The measures of two supplementary angles are in the ratio of 4:5. Find the number of degrees in the measure of the smaller angle A. 20 B. 80 C. 100 D. 180      Log On


   



Question 242979: The measures of two supplementary angles are in the ratio of 4:5. Find the number of degrees in the measure of the smaller angle
A. 20
B. 80
C. 100
D. 180

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The measures of two supplementary angles are in the ratio of 4:5. Find the number of degrees in the measure of the smaller angle
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4:5 is the same as 4x:5x where 4x is the smaller angle.
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Equation:
4x + 5x = 180 degrees
9x = 180
x = 20
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smaller = 4x = 4*20 = 80 degrees.
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Cheers,
Stan H.

A. 20
B. 80
C. 100
D. 180