Answer
To prove the triangles congruent, use method ASA with the following pairs:
1) $\angle B\cong\angle E$
2) $\overline{AB}\cong\overline{AE}$
3) $\angle A\cong\angle A$ (by Identity)
Work Step by Step
Here we find that
1) $\angle B\cong\angle E$
2) $\overline{AB}\cong\overline{AE}$
3) $\angle A\cong\angle A$ (by Identity)
So we have 2 angles and the included side of $\triangle ABC$ are congruent with 2 angles and the included side of $\triangle AED$.
Therefore, according to method ASA, $\triangle ABC\cong\triangle AED$.
