AAA: Similar Quads?

Recall that the Angle-Angle Similarity Theorem for triangles states that if 2 angles of one triangle are congruent to 2 angles of another triangle, then those triangles are similar. (For an illustrative proof of this theorem, go to Yet does the same hold true for quadrilaterals? That is, if 3 angles of one quadrilateral are congruent to 3 angles of another quadrilateral, can we claim that those two quadrilaterals are similar? Interact with the applet below and respond to this question.