Question

4 lines are shown. One line contains points F, E, A. 3 lines come out of point E. One line goes to point D, another line goes to point B, and another line goes to point C. Angles B E C and B E A are congruent.
Which statement is true about the diagram?

∠DEF is a right angle.
m∠DEA = m∠FEC
∠BEA ≅ ∠BEC
Ray E B bisects ∠AEF.

Answer 1

∠BEA ≅ ∠BEC.

That equality is given in the problem. (The other options need extra information — e.g. EB bisecting ∠AEF or ∠DEF being right — are not guaranteed.)