Triangle Proofs
Prove that triangle ABE is congruent to triangle CDE

Step-by-step explanation:
considering, ∆ABE and ∆ CDE.
(I) BE=DE (S),
(II) AE=EC (S),
(III) <AEB=<CED (Vertically opposite angle) [A].
So, by A.A.S. criterion we can prove that ∆ABE~=∆CDE.
hope my answer helps you.