Question

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

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 and have equal measures.

Step2: Analyze each option

• For $\angle HIF$ and $\angle JIF$: These are adjacent angles (they share a common side), so they are not vertical angles.
• For $\angle EFI$ and $\angle JIF$: These are not formed by the intersection of two lines in the vertical - angle - forming way.
• For $\angle HIF$ and $\angle GFD$: These are not opposite each other at the intersection of two lines.
• For $\angle EFD$ and $\angle GFI$: These are non - adjacent angles formed by the intersection of lines $KD$ and $EG$ (or $HJ$). They are opposite each other, so they are vertical angles.

Answer:

$\angle EFD$ and $\angle GFI$