SOLUTION: If the supplement of an angle is three times the measure of the angle, what is the measure of the angle and its supplement? I dont get how to solve it because we had a sub. In clas

Algebra ->  Angles -> SOLUTION: If the supplement of an angle is three times the measure of the angle, what is the measure of the angle and its supplement? I dont get how to solve it because we had a sub. In clas      Log On


   

Question 708702: If the supplement of an angle is three times the measure of the angle, what is the measure of the angle and its supplement? I dont get how to solve it because we had a sub. In class and he had no idea what he was doing.
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
Angles are called supplementary when their measures add to 180%5Eo.
So, the measure of an angle is x, the supplement of that angle measures 180%5Eo-x.
In this case, 3x=180%5Eo-x --> 4x=180%5Eo (adding x to both sides of the equal sign)
4x=180%5Eo --> 4x%2F4=180%5Eo%2F4 --> highlight%28x=45%5Eo%29