Final answer:
Corresponding angles formed by a transversal intersecting two parallel lines are equal due to the parallel lines postulate, meaning the correct answer is D) Equal.
Step-by-step explanation:
When you have two parallel lines and a transversal, the corresponding angles formed are indeed equal. This can be observed by the parallel lines postulate, which states that if a transversal intersects two parallel lines, then each pair of corresponding angles is equal.
Therefore, the correct answer to the question is D) Equal.To elaborate, corresponding angles are the angles that are in the same position at each intersection where the transversal crosses the two parallel line.
Since the lines are parallel, the directional slopes of the lines are equal, which means the angles matching across the lines must also be equal. This is due to the way the angles are formed by the transversal crossing the lines.
the correct answer is D) Equal.