Question

which angles are vertical angles? ∠jif and ∠jik ∠jif and ∠efd ∠jif and ∠hik ∠jif and ∠hif

Explanation:

Step1: Recall vertical - angle definition

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

Step2: Analyze the given intersection

Lines $DG$ and $HJ$ intersect at point $I$, and lines $DG$ and $EG$ intersect at point $F$.

Step3: Identify vertical - angle pairs

$\angle JIF$ and $\angle HIK$ are vertical angles because they are opposite each other at the intersection of lines $DG$ and $HJ$.

Answer:

$\angle JIF$ and $\angle HIK$