Question

eg and hj are parallel lines. which angles are alternate interior angles? ∠jif and ∠hik ∠jik and ∠gfd ∠jif and ∠efi ∠gfi and ∠jik

Explanation:

Step1: Recall the definition of alternate interior angles

Alternate interior angles are non - adjacent interior angles that lie on opposite sides of the transversal.

Step2: Analyze each option

• For $\angle JIF$ and $\angle HIK$: These are vertical angles (formed by the intersection of two lines), not alternate interior angles.
• For $\angle JIK$ and $\angle GFD$: These are not in the correct position relative to the parallel lines $EG$ and $HJ$ and the transversal $DK$.
• For $\angle JIF$ and $\angle EFI$: These are consecutive interior angles (same - side interior angles), not alternate interior angles.
• For $\angle GFI$ and $\angle JIK$:
• Lines $EG\parallel HJ$ and $DK$ is the transversal.
• $\angle GFI$ and $\angle JIK$ are non - adjacent interior angles and lie on opposite sides of the transversal $DK$.

Answer:

$\angle GFI$ and $\angle JIK$