The AA Similarity Postulate states that <em>two triangles are similar if all their corresponding angles are congruent, and their corresponding sides are proportional.</em>
In this case:
∡ACE ≅ ∡DBE (Given)
∡BED ≅ ∡AEC (Vertical Angles Theorem)
For Proportionality, you will have to get more information on the measurements of the sides. As side measurements are not given, you cannot use any similarities based on sides to prove the similarities of the triangles.
