Question

which angles are vertical angles? ∠fgj and ∠hge ∠fgj and ∠fge ∠fgj and ∠ij g ∠fgj and ∠kjg

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

• For $\angle FGJ$ and $\angle HGE$, they are formed by the intersection of lines $FH$ and $EK$ and are opposite each other.
• $\angle FGJ$ and $\angle FGE$ are adjacent angles.
• $\angle FGJ$ and $\angle IJG$ are not related as vertical - angles.
• $\angle FGJ$ and $\angle KJG$ are adjacent angles.

Answer:

$\angle FGJ$ and $\angle HGE$