Question

look at this diagram: if $overleftrightarrow{tv}$ and $overleftrightarrow{wy}$ are parallel lines and $mangle yxu = 57^{circ}$, what is $mangle wxz$?

Explanation:

Step1: Identify vertical - angle relationship

$\angle YXU$ and $\angle WXZ$ are vertical angles.

Step2: Apply vertical - angle property

Vertical angles are congruent. So $m\angle WXZ=m\angle YXU$.

Answer:

$57$