Name the point of intersection of AB and FD with G. Since FD bisects AB, AG congruent to GB. Since AB bisects FD, FG congruent to GD. Angle AGD congruent to Angle FGB by vertical angles. Triangle ADG congruent to Triangle BFG by SAS. Angle D congruent to Angle F by CPCT.
John
Egw to Beta kai to Sigma
My calculator said it, I believe it, that settles it