Given: ∠XWY ≅ ∠ZYW ∠X and ∠Z are both right angles. Prove: YXW ≅ WZY

A. Given: ∠XWY≅∠ZYW , ∠X and ∠Z are both right angles.

∠X≅∠Z ; they have the same measure.

∠XYW≅∠ZWY ; alternate interior angles of parallel lines.

WY¯¯¯¯¯¯¯≅WY¯¯¯¯¯¯¯ ; Reflexive Property of Congruence.

YXW≅WZY by SAS

B. Given: ∠XWY≅∠ZYW , ∠X and ∠Z are both right angles.

∠X≅∠Z ; they have the same measure.

WY¯¯¯¯¯¯¯≅WY¯¯¯¯¯¯¯ ; Reflexive Property of Congruence.

YXW≅WZY by AAS

C. Given: ∠XWY≅∠ZYW , ∠X and ∠Z are both right angles.

∠X≅∠Z ; they have the same measure.

WY¯¯¯¯¯¯¯≅WY¯¯¯¯¯¯¯ ; Reflexive Property of Congruence.

YXW≅WZY by SAS