Final answer:
The segments that are parallel in this case are KC and JA.
Step-by-step explanation:
When two angles are congruent, it means they have the same measure. In this case, if ∠KCB ≅ ∠JAC, it implies that these two angles have the same measure. When two lines are cut by a transversal and the corresponding angles are congruent, it means the lines are parallel. Therefore, segments KC and JA are parallel to each other.