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  (b) ... confirm ∠C≅∠E

Step-by-step explanation:

The first step is to read and understand the problem statement. It is asking for a way to prove ΔABC ~ ΔADE  by AA similarity. That means you want to show any two of the three ...

For this purpose, lengths of line segments are irrelevant (eliminating the last two answer choices). The fact that ∠A≅∠A is given, so you only need to find an answer choice that will show one of the last two angle congruences.

Obviously, showing ∠B≅∠E (choice A) is not relevant to the problem.

The only answer choice that is relevant to the question is the second one, showing ∠C≅∠E.