Question

$\overleftrightarrow{eg}$ and $\overleftrightarrow{hj}$ are parallel lines.
which angles are adjacent angles?
$\angle hik$ and $\angle gfd$
$\angle hik$ and $\angle jik$
$\angle hik$ and $\angle gfi$
$\angle hik$ and $\angle efd$

Explanation:

Adjacent angles share a common vertex and side, and do not overlap.

• $\angle HIK$ and $\angle GFD$: No shared vertex/side.
• $\angle HIK$ and $\angle JIK$: Share vertex $I$ and side $IK$, form a linear pair (adjacent).
• $\angle HIK$ and $\angle GFI$: No shared vertex/side.
• $\angle HIK$ and $\angle EFD$: No shared vertex/side.

Answer:

$\angle HIK$ and $\angle JIK$