Question

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

Explanation:

1. For the first (top - right) figure with two parallel lines and a transversal:

• Alternate interior angles are formed when a transversal crosses two parallel lines. They are on opposite sides of the transversal and inside the two parallel lines. In this figure, ∠1 and ∠2 are alternate interior angles.

1. For the second (bottom - right) figure with two parallel lines and a transversal:

• Vertical angles are formed when two lines intersect. They are opposite each other and are equal in measure. In this figure, ∠1 and ∠2 are vertical angles.

Answer:

• The top - right figure (with two parallel horizontal lines and a slanting transversal) matches with "alternate interior angles".
• The bottom - right figure (with two parallel horizontal lines and a slanting transversal intersecting near the top line) matches with "vertical angles".