Question

eg and hj are parallel lines. which angles are vertical angles? ∠gfd and ∠hik ∠gfd and ∠jif ∠gfd and ∠efd ∠gfd and ∠efi

Explanation:

Step1: Recall the definition of vertical angles

Vertical angles are a pair of non - adjacent angles formed by the intersection of two lines.

Step2: Analyze each option

• For $\angle GFD$ and $\angle HIK$: These angles are not formed by the intersection of the same two lines.
• For $\angle GFD$ and $\angle JIF$: These angles are not formed by the intersection of the same two lines.
• For $\angle GFD$ and $\angle EFD$: These angles are adjacent (they share a common side $FD$).
• For $\angle GFD$ and $\angle EFI$: These angles are formed by the intersection of lines $KD$ and $EG$ (or $HJ$). They are non - adjacent and opposite each other at the intersection of the two lines.

Answer:

$\angle GFD$ and $\angle EFI$