JHawk is right. The triangles are drawn to look congruent, but they are not able to be mathematically proven congruent. The point of the question would be lost if the triangles didn't LOOK congruent, so you have to look past that and find the mathematical basis. In order to prove two triangles congruent (there are several ways), one way is to know that two sides and one angle are congruent. The trick is that the angle has to be the angle between the two known-to-be-congruent sides. In this case, we know two sides, but the angle that we know (the one in the center of the drawing) is not the angle between the two sides, so we cannot prove the triangle congruent. There is no basis either, despite the fact that the angles between the known sides LOOKS congruent, to definitively say that they are the same. One could be 90.01 degrees and the other 89.99. Visibly, no difference. So the answer is that the triangles cannot be proven congruent with the information given.
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