Question

which angles are adjacent angles? ∠hik and ∠gfi ∠hik and ∠efi ∠hik and ∠gfd ∠hik and ∠jik

Explanation:

Step1: Recall adjacent - angle definition

Adjacent angles share a common vertex and a common side.

Step2: Analyze each option

For $\angle HIK$ and $\angle GFI$, they don't share a common vertex or side. For $\angle HIK$ and $\angle EFI$, they don't share a common vertex or side. For $\angle HIK$ and $\angle GFD$, they don't share a common vertex or side. For $\angle HIK$ and $\angle JIK$, they share a common vertex $I$ and a common side $IK$.

Answer:

$\angle HIK$ and $\angle JIK$