Question

I need help with this! Angle RELATIONSHIPs

Answer 1

These are vertical angles. Therefore

(2x)=87-x

Add x to each side


3x=87


X=29

Answer 2

The measures of the labeled angles are 58°.

Explanation:

Since the two angles are opposite angles, they have to be equal, meaning:

`2x = 87 - x`

Solve by adding x to both sides and dividing by 3.

`3x = 87 \\ x = 29`

If x = 29°, then 2x= 58°.

Since opposite angels are equal, the other angle is also 58°.

This can be checked:

`87 - 29 = 58`