Question

which angles are vertical angles? ∠lkh and ∠lkm ∠lkh and ∠jkh ∠lkh and ∠jkm ∠lkh and ∠ghk

Explanation:

Step1: Recall vertical - angle definition

Vertical angles are formed when two lines intersect. They are non - adjacent angles opposite each other.

Step2: Analyze each option

• $\angle LKH$ and $\angle LKM$ are adjacent angles.
• $\angle LKH$ and $\angle JKH$ are adjacent angles.
• $\angle LKH$ and $\angle JKM$: When lines $JL$ and $FM$ intersect at point $K$, $\angle LKH$ and $\angle JKM$ are non - adjacent and opposite each other, so they are vertical angles.
• $\angle LKH$ and $\angle GHK$ are not related as vertical angles.

Answer:

$\angle LKH$ and $\angle JKM$