Answer:
32 (degrees)
Explanation:
Triangles AED and ACB share a common angle A.
Two of the corresponding sides have the same ratio: AB=AD+DB=2AD, AC=AE+EC=2AE
Therefore the triangles are similar.
Therefore the corresponding angles are congruent, in particular
∠AED ≅ ∠ACB
∠ECF is just another name for ∠ACB
∠AED ≅ ∠ECF
So their measures must be the same,
m∠AED = m∠ECF = 32°