Question

Helppp guys i really don't get it​

Answer 1

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Answer:

  (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 ...

• ∠A≅∠A
• ∠B≅∠D
• ∠C≅∠E

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.