SOLUTION: 1. The measure of the supplement of an angle is 60 less than three times the measure of the complement of the angle. Find the measure of the angle.

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Question 507602: 1. The measure of the supplement of an angle is 60 less than three times the measure of the complement of the angle. Find the measure of the angle.
Answer by nerdybill(7384) About Me  (Show Source):
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The measure of the supplement of an angle is 60 less than three times the measure of the complement of the angle. Find the measure of the angle.
.
Let x = measure of angle
then
90-x = complement of angle
180-x = supplement of angle
.
180-x = 3(90-x) - 60
180-x = 270-3x - 60
180-x = 210-3x
180+2x = 210
2x = 30
x = 15 degrees