Answer
$\angle A \cong \angle E$
Work Step by Step
We are given that $\overline{AC} \cong \overline{EC} $ and $\overline{CB} \cong \overline{CD} $
According to the reflexive property of congruence, we have $\angle C \cong \angle C$
Apply Theorem of SAS congruence: $\triangle ACD \cong \triangle ECB$
Therefore, we have
$\angle A \cong \angle E$
