Question

look at this diagram: if (overleftrightarrow{qs}) and (overleftrightarrow{tv}) are parallel lines and (mangle tur = 133^{circ}), what is (mangle vw)?

Explanation:

Step1: Identify angle - type relationship

$\angle TUR$ and $\angle VUW$ are vertical angles.

Step2: Apply vertical - angle property

Vertical angles are congruent. So, $m\angle VUW=m\angle TUR$.

Answer:

$133^{\circ}$