Question

look at this diagram: if $overleftrightarrow{su}$ and $overleftrightarrow{vx}$ are parallel lines and $mangle stw = 128.6^{circ}$, what is $mangle utr?$

Explanation:

Step1: Identify vertical - angle relationship

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

Step2: Apply vertical - angle property

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

Answer:

$128.6$