Final answer:
The reason ∠JNM is congruent to ∠ZKNL is because of the Vertical Angles Theorem, which states that opposite angles formed when two lines intersect are equal.
Step-by-step explanation:
The question at hand involves the geometrical concept of angles formed when two lines intersect. If lines JK and LM intersect at point N, the angles opposite each other, namely ∠JNM and ∠ZKNL, would be equal due to the Vertical Angles Theorem. The theorem states that when two lines intersect, the pairs of angles that are across from each other, known as vertical angles, are congruent.
Therefore, the justification for the statement that ∠JNM is congruent to ∠ZKNL is the Vertical Angles Theorem. This is the correct answer because no other options such as the Linear Pair Postulate, Definition of Supplementary Angles, or Definition of Congruence specifically address the relationship between angles created by the intersection of two lines.