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?

Responses

alternate interior angles
alternate interior angles - no response given

vertical angles
vertical angles - no response given

corresponding angles
corresponding angles - not selected, this is the correct answer

alternate exterior angles
alternate exterior angles - incorrect

3 answers

The relationship that can be established between angle 5 and angle 1 is corresponding angles.
show work
To establish the relationship between angle 5 and angle 1 as corresponding angles, we need to consider the facts about angles formed when parallel lines are cut by a transversal.

When parallel lines are cut by a transversal, the corresponding angles are congruent. Corresponding angles are located on the same side of the transversal, on the same position relative to the parallel lines.

In the given diagram, angle 5 and angle 1 are located on the same side of the transversal and are both on the bottom left position relative to the parallel lines. Therefore, we can conclude that angle 5 and angle 1 are corresponding angles.

Since corresponding angles are congruent, we can state that angle 5 is congruent to angle 1.