Question

look at this diagram: if $overleftrightarrow{su}$ and $overleftrightarrow{vx}$ are parallel lines and $mangle stw = 61^{circ}$, what is $mangle vwy$?

Explanation:

Step1: Identify angle - relationship

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

Step2: Apply vertical - angle property

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

Answer:

$61$