Question

look at this diagram: if $overleftrightarrow{qs}$ and $overleftrightarrow{tv}$ are parallel lines and $mangle vur = 66^{circ}$, what is $mangle tuw$?

Explanation:

Step1: Identify vertical - angle relationship

$\angle VUR$ and $\angle TUW$ are vertical angles.

Step2: Apply vertical - angle property

Vertical angles are congruent. So, $m\angle TUW=m\angle VUR$.

Answer:

$66^{\circ}$