Question

eg and hj are parallel lines. which angles are vertical angles? ∠gfi and ∠efd ∠gfi and ∠jik ∠gfi and ∠hif ∠efd 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. They are opposite each other.

Step2: Analyze each option

• For $\angle GFI$ and $\angle EFD$:

When two lines (in this case, the line $DK$ and the line $EG$) intersect at point $F$, $\angle GFI$ and $\angle EFD$ are non - adjacent and opposite each other.

• For $\angle GFI$ and $\angle JIK$:

These angles are not formed by the intersection of the same two lines. $\angle GFI$ is formed by the intersection of $DK$ and $EG$, and $\angle JIK$ is formed by the intersection of $DK$ and $HJ$.

• For $\angle GFI$ and $\angle HIF$:

These are adjacent angles (they share a common side and a common vertex), so they are not vertical angles.

• For $\angle EFD$ and $\angle EFI$:

These are adjacent angles (they share a common side $EF$ and a common vertex $F$), so they are not vertical angles.

Answer:

$\angle GFI$ and $\angle EFD$