Final Answer:
c. An. Angle "An" corresponds to the same angle as ZGPB in the context of parallel lines cut by a transversal. Corresponding angles in such a configuration are congruent, making An the equivalent angle to ZGPB.
Step-by-step explanation:
The angle that refers to the same angle as ZGPB is denoted by "An." This is because angles in the same position in two parallel lines cut by a transversal are called corresponding angles. In this case, ZGPB and An are corresponding angles as they occupy the same relative position in relation to the parallel lines.
Now, let's delve into the explanation. When a transversal intersects two parallel lines, corresponding angles are formed. Corresponding angles are congruent, meaning they have equal measures. In the given question, ZGPB is one of the corresponding angles formed by the transversal, and An is the corresponding angle on the other parallel line. Therefore, the measure of angle ZGPB is equal to the measure of angle An.
This relationship can be expressed mathematically as ∠ZGPB = ∠An. By definition, corresponding angles are equal, and this property holds true for any pair of corresponding angles formed by parallel lines and a transversal. Therefore, the correct answer to the question is "c. An" because it represents the angle that shares the same measure as ZGPB due to their corresponding relationship in the context of parallel lines and a transversal.