Answer:
C. Angle d is congruent to angle e.
Explanation:
If Line AP is parallel to line CD then that means that angle d is congruent to angle e by Alternate Interior Angle Theorem.
The Alternate Interior Angle Theorem states that if two parallel lines are cut across by a transversal line (this is the line that cuts across both) at an angle, the alternate interior angles are congruent. In this case, angle d and angle e are both interior angles (these are angles that are formed in between the parallel lines), and they are alternate with respect to each other. So this means that they are congruent.
Another pair of alternate interior angles would be angle f and angle c. They are also congruent.