Question

1. plane(s) parallel to plane abc

classify the angle pair as corresponding, alternate interior, exterior, or consecutive interior angles.

1. ∠3 and ∠9
2. ∠5 and ∠13
3. ∠4 and ∠10
4. ∠5 and ∠15
5. ∠7 and ∠14
6. ∠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

They are in the same relative position with respect to the transversal and the lines, so they are corresponding angles.

Step3: Analyze ∠5 and ∠13

They are between the two lines and on opposite sides of the transversal, so they are alternate interior angles.

Step4: Analyze ∠4 and ∠10

They are in the same relative position with respect to the transversal and the lines, so they are corresponding angles.

Step5: Analyze ∠5 and ∠15

They are in the same relative position with respect to the transversal and the lines, so they are corresponding angles.

Step6: Analyze ∠7 and ∠14

They are outside the two lines and on opposite sides of the transversal, so they are alternate exterior angles.

Step7: Analyze ∠1 and ∠11

They are in the same relative position with respect to the transversal and the lines, so they are corresponding angles.

Answer:

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