Question

which angles are adjacent angles?
∠hge and ∠kjg ∠hge and ∠fgj
∠hge and ∠hgj ∠hge and ∠ijl

Explanation:

Step1: Recall the definition of adjacent angles

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

Step2: Analyze each option

• For $\angle HGE$ and $\angle KJG$: They do not have a common vertex.
• For $\angle HGE$ and $\angle FGJ$: They do not have a common vertex.
• For $\angle HGE$ and $\angle HGJ$: They have a common vertex \(G\) and a common side \(HG\), and no common interior points.
• For $\angle HGE$ and $\angle IJL$: They do not have a common vertex.

Answer:

$\angle HGE$ and $\angle HGJ$