Question

which angles are adjacent angles? ∠kjg and ∠kjl ∠ijg and ∠fgj ∠kjg and ∠ijl ∠ijg and ∠fge

Explanation:

Step1: Recall adjacent - angle definition

Adjacent angles share a common vertex and a common side.

Step2: Analyze each option

• For $\angle KJG$ and $\angle KJL$, they share vertex $J$ and side $KJ$, so they are adjacent.
• For $\angle IJG$ and $\angle FGJ$, they do not share a common side or vertex in the required way.
• For $\angle KJG$ and $\angle IJL$, they do not share a common side or vertex in the required way.
• For $\angle IJG$ and $\angle FGE$, they do not share a common side or vertex in the required way.

Answer:

$\angle KJG$ and $\angle KJL$