Since segments JK and RQ are parallel, they are similar by both extending at the same angle and both segments formed by the parallel lines being proportional segments.
Since the lengths of segments KZ and ZR are given, they are similar because they are proportional.
Since vertical angles are always equivalent by the Vertical Angles Theorem, angles JZK and RZQ are congruent
Because we have 2 sides with a non-included (not in-between the two sides) angle, the triangles are similar by SSA Similarity.