Question

look at this diagram: if tv and wy are parallel lines and m∠tus = 117°, what is m∠vux?

Explanation:

Step1: Identify angle - relationship

$\angle TUS$ and $\angle VUX$ are vertical angles.

Step2: Recall vertical - angle property

Vertical angles are congruent, so $m\angle VUX=m\angle TUS$.

Answer:

$117$