SOLUTION: Two angles are supplementary. One angle has a measure that is five less than four times the other . What is the measure of the larger angle?

Question 338825: Two angles are supplementary. One angle has a measure that is five less than four times the other . What is the measure of the larger angle?
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
Two angles are supplementary. One angle has a measure that is five less than four times the other . What is the measure of the larger angle?
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When two angles are supplementary, the sum of the two angles is 180 degrees.
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Let x = one angle
then from: "One angle has a measure that is five less than four times the other"
4x-5 = second angle
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x + 4x-5 = 180
5x-5 = 180
x-1 = 36
x = 37 deg
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second angle:
4x-5 = 4(37)-5 = 148-5= 143 degrees (larger angle)

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