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.