To use the AAS Theorem, you need two angles in a row followed by a side in each triangle.
Let's see what we have.
1) We have sides BC and CD congruent. That is a pair of sides.
2) Following those two sides, we have vertical angles which are congruent. They are angles BCA and DCE.
So far, we have a pair of sides and a pair of angles. Now we need another pair of angles.
3) You need angles A and E to be congruent. This would give you angle-angle-side.
Answer: Choice B.
