Given that ∠X ≅ ∠D, and DE ≅ XW, what is the third congruence needed to prove ∆XWY ≅ ∆DEC by ASA?

Given that ∠X ≅ ∠D, and DE ≅ XW

To prove that ΔXWY ≅ ΔDEC by ASA

One angle and one side are congruent already so you need one more angle to prove both triangles congruent by ASA.

Answer

∠W ≅ ∠E