Question

classify the angle pair as corresponding, alternate interior, alternate exterior, or consecutive interior angles. 11. ∠3 and ∠9 12. ∠5 and ∠13 13. ∠4 and ∠10 14. ∠5 and ∠15 15. ∠7 and ∠14 16. ∠1 and ∠11

Explanation:

Step1: Recall angle - pair definitions

Corresponding angles are in the same relative position with respect to the transversal and the parallel lines. Alternate interior angles are between the two lines and on opposite sides of the transversal. Alternate exterior angles are outside the two lines and on opposite sides of the transversal. Consecutive interior angles are between the two lines and on the same side of the transversal.

Step2: Analyze ∠3 and ∠9

∠3 and ∠9 are corresponding angles as they are in the same relative position with respect to the transversal and the parallel - like lines.

Step3: Analyze ∠5 and ∠13

∠5 and ∠13 are corresponding angles as they are in the same relative position with respect to the transversal and the parallel - like lines.

Step4: Analyze ∠4 and ∠10

∠4 and ∠10 are alternate interior angles as they are between the two lines and on opposite sides of the transversal.

Step5: Analyze ∠5 and ∠15

∠5 and ∠15 are alternate exterior angles as they are outside the two lines and on opposite sides of the transversal.

Step6: Analyze ∠7 and ∠14

∠7 and ∠14 are consecutive interior angles as they are between the two lines and on the same side of the transversal.

Step7: Analyze ∠1 and ∠11

∠1 and ∠11 are alternate exterior angles as they are outside the two lines and on opposite sides of the transversal.

Answer:

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