Final answer:
The correct answer is B. ∠LIM, ∠NJP, which represents a pair of nonadjacent supplementary angles that add up to 180 degrees.
Step-by-step explanation:
The question is asking for a pair of nonadjacent supplementary angles. Supplementary angles are two angles that add up to 180 degrees but are not adjacent (not sharing a common side or vertex). Among the given options, B. ∠LIM, ∠NJP is the correct pair of nonadjacent supplementary angles, assuming they are indeed supplementary as no diagram is provided. The other options list angles that are either adjacent or not specified as supplementary.