A: A is not correct. The two angles mentioned are interior and supplementary. They do not share a common vertex.
B: The two angles that share a common vertex (and are supplementary) are <JKN and <LKN So far this is the answer.
C: <MNP and <JKN are equal so they cannot be adjacent angles. Not when the transversal is on an angle like this.
D: <ONK and <JKN can be shown to be supplementary, but they have no special name. As a result, these two cannot be the answer