Question

look at this diagram: if $overleftrightarrow{pr}$ and $overleftrightarrow{su}$ are parallel lines and $mangle utq = 59^{circ}$, what is $mangle stv$?

Explanation:

Step1: Identify vertical - angle relationship

$\angle UTQ$ and $\angle STV$ are vertical angles.

Step2: Apply vertical - angle property

Vertical angles are congruent. So, $m\angle STV=m\angle UTQ$.

Answer:

$59$