Given: WX¯¯¯¯¯¯¯≅ZY¯¯¯¯¯¯,WY¯¯¯¯¯¯¯≅ZX¯¯¯¯ ¯¯ Prove: ∠W≅∠Z

A. Given: WX¯¯¯¯¯¯¯≅ZY¯¯¯¯¯¯ and WY¯¯¯¯¯¯¯≅ZX¯¯¯¯¯¯ .
XY¯¯¯¯¯¯≅XY¯¯¯¯¯¯ ; Reflexive Property of Congruence
ΔWXY≅ΔZYX ; SSS Postulate
∠W≅∠Z ; corresponding parts of congruent triangles
B. Given: WX¯¯¯¯¯¯¯≅ZY¯¯¯¯¯¯ and WY¯¯¯¯¯¯¯≅ZX¯¯¯¯¯¯
∠WYZ≅∠YZX ; alternate interior angles of parallel sides
ΔWXY≅ΔZYX ; SAS Postulate
∠W≅∠Z ; corresponding parts of congruent triangles
C. Given: WX¯¯¯¯¯¯¯≅ZY¯¯¯¯¯¯ and WY¯¯¯¯¯¯¯≅ZX¯¯¯¯¯¯
XY¯¯¯¯¯¯≅XY¯¯¯¯¯¯ ; Reflexive Property of Congruence
ΔWXY≅ΔZYX ; SAS Postulate
∠W≅∠Z ; corresponding parts of congruent triangles