Question

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

Explanation:

Step1: Recall vertical - angle definition

Vertical angles are formed when two lines intersect. They are opposite each other and are congruent.

Step2: Analyze each option

• $\angle EFD$ and $\angle GFD$ are adjacent angles (they share a common side).
• $\angle GFD$ and $\angle HIK$ are not related as vertical - angles.
• $\angle HIK$ and $\angle JIF$ are vertical angles because they are formed by the intersection of lines $HJ$ and $DK$ and are opposite each other.
• $\angle HIF$ and $\angle JIF$ are adjacent angles.

Answer:

$\angle HIK$ and $\angle JIF$