Here, ∠WVX = ∠WZY
& ∠W = ∠W [ Reflexive Property ]
Triangles have the constant sum, so they would be: equal.
WVX + WXV + W = W + WZY + WYZ
WXY = WYZ [ ∠WVX = ∠WZY ]
Now, As all the angles are equal, we conclude:
ΔXVW ≈ ΔYZW [ By ASA Postulate ]
Hope this helps!