Question

look at this diagram: if $overleftrightarrow{pr}$ and $overleftrightarrow{su}$ are parallel lines and $mangle stq = 68^{circ}$, what is $mangle utv$?

Explanation:

Step1: Identify angle - relationship

$\angle STQ$ and $\angle UTV$ are vertical angles.

Step2: Apply vertical - angle property

Vertical angles are congruent. So $m\angle UTV=m\angle STQ$.

Answer:

$68^{\circ}$