Match the reasons with the statements in the proof.

1. j||k, m∠3 = m∠1
if alternate interior angles are =, then lines are ||.
2. m∠1 = m∠2
substitution
3. m∠2 = m∠3
given
4. l||m
if lines are ||, then corresponding angles are =.

1-given

2-if lines are parallel, then corresponding angles are equal

3-Substitution

4-if alternate interior angles are equal then lines are parallel.

Step-by-step explanation:

Given j is parallel to k,

We have to prove that line l is parallel to m

We  have to match reason with its correct statement in given proof.

1.j is parallel to k,

Reason:given

2.

Reason:if the lines are parallel , then corresponding angles are equal.

3.

Reason: substitution

4.line l is parallel to m

Reason: If alternate interior angles are equal ,then lines are parallel.

it should be a.

hope it