SOLUTION: what is the measure of the larger angle of two supplementary angles if two-fifths of the larger angle is 5 less than the smaller angle?

SOLUTION: what is the measure of the larger angle of two supplementary angles if two-fifths of the larger angle is 5 less than the smaller angle?

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Question 161723: what is the measure of the larger angle of two supplementary angles if two-fifths of the larger angle is 5 less than the smaller angle?
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
Supplementary: two angles whose sum is 180
.
Let x = larger angle
180-x = smaller angle
.
(2/5)x = (180-x)-5
(2/5)x = 175-x
2x = 875 - 5x
7x = 875
x = 125 degrees
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