Question

fh and ik are parallel lines. which angles are adjacent angles? ∠hge and ∠fge ∠hge and ∠ijg ∠hge and ∠kjg ∠hge and ∠kjl

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 $\angle HGE$ and $\angle FGE$: They share the common vertex $G$ and the common side $\overrightarrow{GE}$. So they are adjacent angles.
• For $\angle HGE$ and $\angle IJG$: They do not share a common side or a common - vertex in the required way for adjacent angles.
• For $\angle HGE$ and $\angle KJG$: They do not share a common side or a common - vertex in the required way for adjacent angles.
• For $\angle HGE$ and $\angle KJL$: They do not share a common side or a common - vertex in the required way for adjacent angles.

Answer:

$\angle HGE$ and $\angle FGE$