Question

look at this diagram: if $overleftrightarrow{rt}$ and $overleftrightarrow{uw}$ are parallel lines and $mangle tsq = 53.8^{circ}$, what is $mangle rsv$?

Explanation:

Step1: Identify angle - relationship

$\angle TSQ$ and $\angle RSV$ are vertical angles.

Step2: Recall vertical - angle property

Vertical angles are congruent, so $m\angle RSV=m\angle TSQ$.

Answer:

$53.8$