Question

look at this diagram: if qs and tv are parallel lines and m∠vur = 46°, what is m∠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:

$46$