Question

9 classify ∠1 and ∠2 using the most appropriate angle pair name. 10 classify ∠1 and ∠2 using the most appropriate angle pair name. 11 classify ∠1 and ∠2 using the most appropriate angle pair name. 12 classify ∠1 and ∠2 using the most appropriate angle pair name. 13 classify ∠1 and ∠2 using the most appropriate angle pair name. 14 classify ∠1 and ∠2 using the most appropriate angle pair name. 15 classify ∠1 and ∠2 using the most appropriate angle pair name. 16 classify ∠1 and ∠2 using the most appropriate angle pair name.

Explanation:

Step1: Recall angle - pair definitions

Corresponding angles are in the same relative position, alternate - interior angles are between the parallel lines and on opposite sides of the transversal, alternate - exterior angles are outside the parallel lines and on opposite sides of the transversal, and consecutive - interior angles are between the parallel lines and on the same side of the transversal.

Step2: Analyze each pair

For question 9: ∠1 and ∠2 are alternate - exterior angles as they are outside the two lines and on opposite sides of the transversal.
For question 10: ∠1 and ∠2 are corresponding angles as they are in the same relative position with respect to the transversal and the two lines.
For question 11: ∠1 and ∠2 are alternate - interior angles as they are between the two lines and on opposite sides of the transversal.
For question 12: ∠1 and ∠2 are consecutive - interior angles as they are between the two lines and on the same side of the transversal.
For question 13: ∠1 and ∠2 are alternate - exterior angles.
For question 14: ∠1 and ∠2 are corresponding angles.
For question 15: ∠1 and ∠2 are consecutive - interior angles.
For question 16: ∠1 and ∠2 are alternate - interior angles.

Answer:

1. Alternate - exterior angles
2. Corresponding angles
3. Alternate - interior angles
4. Consecutive - interior angles
5. Alternate - exterior angles
6. Corresponding angles
7. Consecutive - interior angles
8. Alternate - interior angles