Question

what is the relationship between ∠1 and ∠2? match each figure with the angle relationship it shows.

Explanation:

1. For the top - left figure: $\angle1$ and $\angle2$ lie outside the two parallel lines and on alternate sides of the transversal. By the definition of alternate exterior angles, they are alternate exterior angles.
2. For the top - right figure: $\angle1$ and $\angle2$ lie between the two parallel lines and on alternate sides of the transversal. By the definition of alternate interior angles, they are alternate interior angles.

Answer:

Top - Left Figure: alternate exterior angles
Top - Right Figure: alternate interior angles