Question

look at this diagram: if $overleftrightarrow{su}$ and $overleftrightarrow{vx}$ are parallel lines and $mangle utr = 117^{circ}$, what is $mangle stw$?

Explanation:

Step1: Identify vertical - angle relationship

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

Step2: Apply vertical - angle property

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

Answer:

$117$