I dont understand how to do this

As their corresponding angles and pair of alternate angles are equal j || k
A transversal line is a line which intersects two parallel line at two distinct points.Also when a transversal intersects two parallel lines it forms two pairs of interior angles and two pairs of exterior angles.
From the given data
∠4 and ∠7 are supplementary
We can observe that these two angles are interior angles
∴ When a pair of interior angles are supplementary when a transversal intersect two lines they are parallel to each other.
Also their corresponding interior angles are equal and pair of alternate angles are also equal in measure.
Learn more about Transversal lines here :
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