given: angle a is congruent to angle e

Question

given: angle a is congruent to angle e

given: line ab is congruent to line be

prove triangle abc to be congruent to triangle ebd

Answer 1

I assume that line segments AE and CD intersect at point B, otherwise there is no enough information for a proof.
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Statement: Line segments AE and CD intersect at point B.
Reason: Given

Statement: Line segments AB and BE are congruent. 
Reason: Given

Statement: Angles BAC & BED are congruent.
Reason: Given

Statement: Angles CBA and DBE are congruent.
Reason: Vertical angles are congruent (Theorem)

Statement: Triangles ABC & EBD are congruent.
Reason: ASA Postulate.