Name the two congruent triangles

∆ABE ≅ ∆DCE by SAS Congruence Theorem.

Step-by-step explanation:

The diagram given indicates the following:

<E ≅ <E (vertical angles)

AE ≅ DE

BE ≅ CE

Thus, an included angle, <E, and two side lengths, AE and BE, in ∆ABE are congruent to an included angle, <E, and two corresponding side lengths, DE and CE, in ∆DCE. By the SAS Congruence Theorem, both angles are congruent to each other.

Therefore:

∆ABE ≅ ∆DCE by SAS Congruence Theorem.