Question

use the picture below use the given information to decide if m||n, p||q, or neither. multiple choice 1 point <2 = <11 m||n p||q neither multiple choice 1 point <3 = <6 m||n p||q neither multiple choice 1 point <10 = <15 m||n p||q neither multiple choice 1 point <14 = <15 m||n p||q neither

Explanation:

Step1: Recall angle - related parallel line rules

If corresponding angles, alternate - interior angles, or alternate - exterior angles are equal, then the lines are parallel.

Step2: For ∠2 and ∠11

∠2 and ∠11 are corresponding angles. If ∠2 = ∠11, then m∥n.

Step3: For ∠3 and ∠6

∠3 and ∠6 are alternate - interior angles. If ∠3 = ∠6, then p∥q.

Step4: For ∠10 and ∠15

∠10 and ∠15 are corresponding angles. If ∠10 = ∠15, then m∥n.

Step5: For ∠14 and ∠15

∠14 and ∠15 are adjacent angles on the same side of a transversal. Their equality does not imply parallel lines.

1. If ∠2 = ∠11, then m∥n.

Answer:

m∥n

1. If ∠3 = ∠6, then p∥q.