Question

select all the pairs of adjacent angles.
∠lki and ∠mnk
∠lki and ∠lkn
∠jkn and ∠mnk
∠lki and ∠onk

Explanation:

Step1: Recall adjacent angles definition

Adjacent angles share a common side and vertex, and their non - common sides are on opposite sides of the common side.

Step2: Analyze each pair

• For $\angle LKI$ and $\angle MNK$: They do not share a common vertex or side, so not adjacent.
• For $\angle LKI$ and $\angle LKN$: They share a common vertex $K$ and a common side $LK$, and their non - common sides $KI$ and $KN$ are on opposite sides of $LK$. So they are adjacent.
• For $\angle JKN$ and $\angle MNK$: $\angle JKN$ (with vertex $K$) and $\angle MNK$ (with vertex $N$) do not share a common vertex, so not adjacent.
• For $\angle LKI$ and $\angle ONK$: They do not share a common vertex or side, so not adjacent.

Answer:

$\angle LKI$ and $\angle LKN$