Applying the concept of supplementary angles, their measures are of 60º and 120º.
What are supplementary angles?
Two angles are called supplementary if the sum of their measures is of 180º.
In this problem, we have that the measurement of one angle is half the measurement of the other, and they are supplementary, hence:
[tex]x + \frac{x}{2} = 180[/tex]
[tex]\frac{3x}{2} = 180[/tex]
3x = 360
x = 120
x/2 = 120/2 = 60º.
The measures of the supplementary angles are of 60º and 120º.
More can be learned about supplementary angles at https://brainly.com/question/12919120
