Okay, here we have this:
Considering the provided information, and that we must identify which of the provided options allow us to determine that the two triangles are similar, we obtain the following:
As the angle-angle similarity says that if two angles of one triangle are congruent with two angles of another triangle, then the triangles are similar.
Finally, we see that the only option that satisfies this statement is option D, since it indicates that two angles of the triangles are congruent. Therefore the correct option is D.