SOLUTION: The measure of the supplement of an angle is 15 more then four times the measure of the angle. Find the measure of the angle and the supplement.

Algebra ->  Angles -> SOLUTION: The measure of the supplement of an angle is 15 more then four times the measure of the angle. Find the measure of the angle and the supplement.      Log On


   



Question 503452: The measure of the supplement of an angle is 15 more then four times the measure of the angle. Find the measure of the angle and the supplement.
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
The measure of the supplement of an angle is 15 more then four times the measure of the angle. Find the measure of the angle and the supplement.
.
Let x = the angle
then
180-x = supplement
.
the equation is then:
180-x = 4x+15
180 = 5x+15
165 = 5x
33 degrees = x (angle)
.
supplement:
180-x = 180-33 = 147 degrees