The statement that shows that j is parallel to k would be = ∠6 ≅ ∠4. That is option B.
What are parallel lines?
Parallel lines are those line that do not cross or join each other till infinity.
From the given figure,
Lines m and n are parallel to each other because, the two lines cross two other lines leading to the formation of of Congruent Angles such as ∠6 ≅ ∠4.
Complete question
Which statement must be true to prove j || k?
a.m∠2 + m∠5 = 180
b.∠6 ≅ ∠4
c.∠2 ≅ ∠3
d.∠1 ≅ ∠4