Question

Use the figure to answer the question.




Using facts about the angles formed when parallel lines are cut by a transversal, what relationship can you establish between angle 5 and angle 1?(1 point)
Responses

alternate interior angles
alternate interior angles

vertical angles
vertical angles

corresponding angles
corresponding angles

alternate exterior angles
alternate exterior angles

Answer 1

To determine the relationship between angle 5 and angle 1 when parallel lines are cut by a transversal, we need to consider their positions.

If angle 1 is located inside the parallel lines and angle 5 is also located inside the parallel lines but on the opposite side of the transversal, then they are **alternate interior angles**.

However, if both angles are in the same position relative to the transversal and on different sides of the parallel lines, then they would be termed **corresponding angles**.

In summary, if angle 5 and angle 1 satisfy the first condition (alternate sides, inside the parallel lines), they are **alternate interior angles**. If they satisfy the second condition (same side, but corresponding positions), they are **corresponding angles**.

Based on the typical setup with angles labeled in a transversal and parallel line scenario, angle 5 and angle 1 will most likely be classified as **alternate interior angles**.

Therefore, the correct response is:

**alternate interior angles**.