Question

which angles are adjacent angles? ∠jif and ∠gfi ∠jif and ∠gfd ∠jif and ∠hik ∠jif and ∠hif

Explanation:

Step1: Recall adjacent - angle definition

Adjacent angles share a common vertex and a common side.

Step2: Analyze each option

• For $\angle JIF$ and $\angle GFI$: They share vertex $I$ and side $IF$, so they are adjacent.
• For $\angle JIF$ and $\angle GFD$: They do not share a common side or vertex in the required way.
• For $\angle JIF$ and $\angle HIK$: They do not share a common side or vertex in the required way.
• For $\angle JIF$ and $\angle HIF$: They do not share a common side or vertex in the required way.

Answer:

$\angle JIF$ and $\angle GFI$