Given: AD, BE, and FC intersect at point P. AD ∥ FC. Write at least 6 algebra equations to relate different pairs of angles. Justify your answer.
(a) ∠APD = ∠CPF (Alternate interior angles are equal due to parallel lines.)
(b) ∠APB + ∠BPC = ∠APC (Angle sum property in a triangle.)
(c) ∠DPB + ∠BPC = 180° (Straight line angle sum.)
(d) ∠APB = ∠CPF (Corresponding angles due to parallel lines.)