None of the answers are correct.
The reasoning for the angles being congruent in triangles △BGH and △PCF should be based on corresponding angles based on triangle congruence criteria (like Side-Angle-Side, Angle-Side-Angle, etc.) or relationships established through parallel lines, not their positions as suggested by the students. The specific congruence of angles would generally need to be established through known congruence criteria rather than the positional associations they mentioned.