C is a point on the line joining B and E. D and A are point above BC such that $$\lfloor DCE = \frac{1}{2} \lfloor ACE$$. Is CD parallel to AB ?
I. ABC is a scalene triangle
II. BC = CE

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 statements alone is sufficient.

D

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