SOLUTION: The measure of an angle is 21 degrees more than twice its supplement. Find the measure of each angle?

Question 160347: The measure of an angle is 21 degrees more than twice its supplement. Find the measure of each angle?
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
The measure of an angle is 21 degrees more than twice its supplement. Find the measure of each angle?
.
If two angles are supplementary, the sum of the two angles equals 180 degrees.
.
Let x = angle
then
180-x = supplement of angle
.
x = 2(180-x)+21
x = 360-2x+21
x = 381-2x
3x = 381
x = 127 degrees (angle)
.
supplement:
180-x = 180-127 = 53 degrees (supplement)

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