Question

select all the pairs of adjacent angles.
∠kjg and ∠ijg
∠kjg and ∠kjl
∠hge and ∠fge
∠ijl and ∠ijg

Explanation:

Step1: Recall adjacent - angle definition

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

Step2: Check $\angle KJG$ and $\angle IJG$

They share vertex $J$ and side $JG$, so they are adjacent.

Step3: Check $\angle KJG$ and $\angle KJL$

They share vertex $J$ and side $JK$, so they are adjacent.

Step4: Check $\angle HGE$ and $\angle FGE$

They share vertex $G$ and side $GE$, so they are adjacent.

Step5: Check $\angle IJL$ and $\angle IJG$

They share vertex $J$ and side $JI$, so they are adjacent.

Answer:

$\angle KJG$ and $\angle IJG$, $\angle KJG$ and $\angle KJL$, $\angle HGE$ and $\angle FGE$, $\angle IJL$ and $\angle IJG$