Question

look at this diagram. if $overleftrightarrow{su}$ and $overleftrightarrow{vy}$ are parallel lines and $mangle vwy = 117^{circ}$, what is $mangle xwt$?

Explanation:

Step1: Identify angle - relationship

$\angle VWY$ and $\angle XWT$ are vertical angles.

Step2: Recall vertical - angle property

Vertical angles are congruent. So $m\angle XWT=m\angle VWY$.

Answer:

$117^{\circ}$