Question

fh and ik are parallel lines. which angles are vertical angles? ∠ijl and ∠kjg ∠ijl and ∠fge ∠ijl and ∠ij g ∠ijl and ∠fgj

Explanation:

Step1: Recall vertical - angle definition

Vertical angles are formed when two lines intersect, and they are opposite each other.

Step2: Analyze each option

• For $\angle IJL$ and $\angle KJG$, they are vertical angles because they are formed by the intersection of line $IK$ and line $LE$.
• $\angle IJL$ and $\angle FGE$ are not vertical angles as they are not formed by the intersection of the same two - line pair.
• $\angle IJL$ and $\angle IJG$ are adjacent angles, not vertical angles.
• $\angle IJL$ and $\angle FGJ$ are not vertical angles.

Answer:

$\angle IJL$ and $\angle KJG$