# Geometry problem

1. Oct 29, 2013

### rushikesh

In the figure attached, I have to prove AB=2CE given that: line AC is parallel to DE and angles as mentioned in the figure. Can anyone please help me to prove the same?

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2. Oct 29, 2013

### szynkasz

Calculate angles of the triangle $CDE$ in terms of $\angle BAC$ Then use the sine formula to relate $|CE|$ to $|CD|$

3. Oct 29, 2013

### rushikesh

∠BAC can vary and so will the angles of the Triangle CDE

4. Oct 29, 2013

### Staff: Mentor

They can. But they're related, so you can express one in terms of the other.