Question

which angles are adjacent angles? ∠mnk and ∠jki ∠mnk and ∠jkn ∠mnk and ∠onk ∠mnk and ∠lki

Explanation:

Step1: Recall adjacent - angle definition

Adjacent angles share a common vertex and a common side, and have no interior - points in common.

Step2: Analyze each option

For $\angle MNK$ and $\angle JKI$, they have no common vertex or side. For $\angle MNK$ and $\angle JKN$, they share the common vertex $N$ and the common side $NK$, and have no interior - points in common. For $\angle MNK$ and $\angle ONK$, they are a linear pair, sharing a common vertex $N$ and a common side $NK$, and have no interior - points in common. For $\angle MNK$ and $\angle LKI$, they have no common vertex or side.

Answer:

$\angle MNK$ and $\angle JKN$, $\angle MNK$ and $\angle ONK$