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.

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) (Show Source): You can put this solution on YOUR website!
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
.

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