Answer
△VWZ and △YWZ are congruent using Theorem 4-2 Angle-Angle-Side (AAS) Theorem
Work Step by Step
Proof:
∠V ≅ ∠Y is Given
WZ bisects ∠VWY is Given
∠VWZ ≅∠ZWY - Definition of bisect
WZ ≅ WZ - Reflexive Property of Congruence
△VWZ ≅ △YWZ - Theorem 4-2 Angle-Angle-Side (AAS) Theorem