All that's shown is that the three corresponding angles are equal. By AAA similarity, these triangles are similar. But they could be dilated and the angle measures would remain the same, without the side lengths being equal. This is why you can't determine whether or not these triangles are congruent.
Answer: it's not possible to tell because only the angle congruency is given. And there is no such thing as the "ASA" criterion. It can be congruent only if the congruency of one side is also mentioned.
