Answer:
ABCD is a parallelogram/Given
Line AB is parallel to line DC/Opposite sides of a parallelogram are equal
Line FD is congruent to Line FD/Reflexive property
Line BE is congruent to line BE/Reflexive property
Line AC is congruent to Line AC/Reflexive Property
Angle A is congruent to Angle BCD by Alternate Interior Angle Theorem
Angle BCD is congruent to Angle FCE by Vertical Angles Theorem
Angle A is congruent to Angle BCD by Transitive Property
