Answer:
B and D both lead to failure. I have no idea how to pick which one is right. I guess D but don't be surprised if it is B. The question tries to do too much.
D
Explanation:
No.
You need one more fact.
You can't pick A. Angles are not noted.
B: there is no mention of parallel sides. This is why the proposition fails to give a parallelogram.
C: you haven't got both sides being parallel. You haven't even got one set of opposite sides being parallel
D: This is probably another alternative. You don't know anything about 1 set of opposite sides.
E: No angles are marked.