Answer:
The measures of the labeled angles are 58°.
Step-by-step explanation:
Since the two angles are opposite angles, they have to be equal, meaning:
[tex]2x = 87 - x[/tex]
Solve by adding x to both sides and dividing by 3.
[tex]3x = 87 \\ x = 29[/tex]
If x = 29°, then 2x= 58°.
Since opposite angels are equal, the other angle is also 58°.
This can be checked:
[tex]87 - 29 = 58[/tex]
