Answer:
By the corresponding angle theorem : The corresponding angles made by a same transversal on two parallel lines are equal in measure.
By the converse of alternate angles : When alternative angles in two lines by same transversal are equal then these lines are parallel to each other,
Now, given,
j ║ k
m∠1 = m∠3
Prove: l ║ m,
Thus, the column proof would be,
Statement Reason
1. j ║k, m∠1 = m∠3 Given
2. m∠1 = m∠2 If lines are ║, then corresponding angles are =
3. m∠2 = m∠3 Substitution
4. l ║ m If alternative angles are =, then lines are ║
