AB is a line segment, and P is its midpoint. D and E are points on the same side of AB such that ∠BAD=∠ABE and ∠EPA=∠DPB. Which of the following is correct?
a) ∠BDA=∠BDE
b) ∠EPA=∠AEB
c) ∠DPE=∠DBE
d) ∠EPB=∠ABD