Are the triangles $$\triangle ABE$$ and $$\triangle CDE$$ given below congruent ?
I. $$AB \parallel CD$$
II. $$\angle AEB = \angle CED$$

A

If the statement I alone is sufficient to answer the question

B

If the statement II alone is sufficient to answer the question

C

If both the statements I and II are sufficient to answer the question but neither statement alone is sufficient.

D

If both the statements I and II together are not sufficient to answer the question and additional data is required.