SOLUTION: The measure of a 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 214911: The measure of a 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 RAY100(1637) About Me  (Show Source):
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Let a = angle
.
Let x= complement = 90-a
.
Let y = supplement = 180 -a
.
y=3x -60,,,,,subst
.
(180-a) = 3(90-a) - 60
.
180-a = 270 -3a -60
.
180 +60 -270 = a-3a
.
-30 = -2a
.
a=15
.
x= 90-15=75
.
y= 180-15=165
.
.
check
165 = 3(75)-60,,,,ok
.