Look at this diagram:If RT and uw are parallel lines and mZRSV = 52º, what is mZWVS?

Since RT and UW are parallel, we can say that ∠RSV and ∠WVS are pairs Alternate Interior Angles.
The Alternate Interior Angles Theorem states that, when two parallel lines are cut by a transversal, the resulting alternate interior angles are congruent .
Therefore, we can say that ∠RSV = ∠WVS = 52°
Answet: ∠WVS = 52°