Indicate the method you would use to prove the two A's =. If no method applies, enter "none". O SSS
O SAS
O ASA
O AAS
ONone

I would say SAS

Explanation: The two equal eachother, that would mean that the corresponding angles equal eachother as well as the other side length. Let me know if otherwise.

The answer would be the ASA postulate. The angles where the two triangles intersect in the middle are vertical angles. Vertical angles are congruent. Therefore, the triangles have two pairs of corresponding, congruent angles, and a pair of corresponding, congruent sides. And thus, the ASA postulate proves the two triangles are congruent.