SOLUTION: Begin by letting X represent the degree measure of the angles supplement. The measure of the angle is five times greater than its supplement.

Algebra ->  Angles -> SOLUTION: Begin by letting X represent the degree measure of the angles supplement. The measure of the angle is five times greater than its supplement.      Log On


   

Question 1003372: Begin by letting X represent the degree measure of the angles supplement. The measure of the angle is five times greater than its supplement.
Answer by addingup(3677) About Me  (Show Source):
You can put this solution on YOUR website!
Let x = measure of the angle. Supplementary angles are those that add up to 180 degrees, therefore:
180-x = supplement of the angle
---------------------
And the problem says that the measure of the angle is five times greater than its supplement:
x = 5(180-x)
x = 900-5x
6x = 900
x = 900/6
x = 150 degrees is the measure of your angle. And your supplement is:
180-150= 30 degrees is the supplementary angle
Proof:
"The measure of the angle is five times greater than its supplement" We just said the supplement is 30, and 30*5= 150. We have the correct answer.