Answer:
C
Explanation:
We are told that angle CEA is a right angle. That means it's 90 degrees.
We are also told that EB bisects CEA. Bisects means divides in two, so 90/2 = 45 degrees. So now we know that both angle BEC and BEA are 45 degrees!
The answer, then, is C, BEC = 45 degrees.
Why not A: BEA is not equal to CEA; CEA = 90, and BEA = 45. This should make sense. Just look at their size on the picture. Clearly, CEA is bigger than BEA.
Why not B: The same reasoning applies.
Why not D: CEA is 90 degrees, not 45.