To prove that \(\angle WVY = \angle XVZ\), you can use the corresponding angles property, as angles WVX and YVZ are already congruent.
Here's the proof:
1. Given: \(\angle WVX \cong \angle YVZ\) (Given information)
2. Corresponding angles are equal: \(\angle WVY \cong \angle XVZ\) (Corresponding angles property)
Therefore, \(\angle WVY = \angle XVZ\), and the statement is proven.