Question

look at this diagram: if $overleftrightarrow{su}$ and $overleftrightarrow{vx}$ are parallel lines and $mangle xwt = 46^{circ}$, what is $mangle vwy$?

Explanation:

Step1: Identify angle - relationship

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

Step2: Recall vertical - angle property

Vertical angles are congruent, i.e., they have the same measure.

Answer:

$46$