Question 991686: The measure of angle 1 is 4 times the measure of its supplement. What is the measure, in degrees, of angle 1? Answer by addingup(3677) (Show Source):
You can put this solution on YOUR website! Two angles are supplementary when they add up to 180 degrees. Therefore, if the measure of angle 1 is 4 times the measure of its supplement:
Let's call angle 1 4x and its supplement x.
4x + x= 180
5x= 180
x= 180/5
x= 36 is the measure of the supplement.
Since angle 1 is 4 times the measure of its supplement:
36*4= 144 is the measurement of angle 1.