Question

look at this diagram: if $overleftrightarrow{tv}$ and $overleftrightarrow{wy}$ are parallel lines and $mangle yxz = 138^{circ}$, what is $mangle wxu$?

Explanation:

Step1: Identify angle - relationship

$\angle YXZ$ and $\angle WXU$ are vertical angles.

Step2: Recall vertical - angle property

Vertical angles are congruent. So $m\angle WXU=m\angle YXZ$.

Answer:

$138$