Question

fh and ik are parallel lines. which angles are adjacent angles? ∠hge and ∠jil ∠hge and ∠hgj ∠hge and ∠kjg ∠hge and ∠fgj

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 $\angle IDL$, they have no common vertex and no common side, so they are not adjacent.
• For $\angle HGE$ and $\angle HGJ$, they share a common vertex $G$ and a common side $\overrightarrow{HG}$, and have no interior - points in common.
• For $\angle HGE$ and $\angle KJG$, they have no common vertex and no common side, so they are not adjacent.
• For $\angle HGE$ and $\angle FGJ$, they do not share a common side, so they are not adjacent.

Answer:

$\angle HGE$ and $\angle HGJ$