Question

structure in exercises 13 - 16, classify the angle pair as corresponding, alternate interior, alternate exterior, or consecutive interior angles. 13. ∠5 and ∠1 14. ∠11 and ∠13 15. ∠6 and ∠13 16. ∠2 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 parallel lines and on opposite sides of the transversal. Alternate exterior angles are outside the parallel lines and on opposite sides of the transversal. Consecutive interior angles are between the parallel lines and on the same side of the transversal.

Step2: Analyze ∠5 and ∠1

∠5 and ∠1 are in the same relative position with respect to the transversal and the parallel lines. So, ∠5 and ∠1 are corresponding angles.

Step3: Analyze ∠11 and ∠13

∠11 and ∠13 are between the parallel lines and on the same side of the transversal. So, ∠11 and ∠13 are consecutive interior angles.

Step4: Analyze ∠6 and ∠13

∠6 and ∠13 are between the parallel lines and on opposite sides of the transversal. So, ∠6 and ∠13 are alternate interior angles.

Step5: Analyze ∠2 and ∠11

∠2 and ∠11 are outside the parallel lines and on opposite sides of the transversal. So, ∠2 and ∠11 are alternate exterior angles.

Answer:

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