Question

look at this diagram: if $overleftrightarrow{rt}$ and $overleftrightarrow{uw}$ are parallel lines and $mangle rsq = 64^{circ}$, what is $mangle tsv?$

Explanation:

Step1: Identify angle - type relationship

$\angle RSQ$ and $\angle TSV$ are vertical angles.

Step2: Recall vertical - angle property

Vertical angles are congruent, so $m\angle TSV=m\angle RSQ$.

Answer:

$64$