Question

which angles are alternate interior angles? ∠ghk and ∠ghf ∠ghk and ∠ihf ∠ghk and ∠jkh ∠ghk and ∠lkh

Explanation:

Step1: Recall alternate - interior angles definition

Alternate - interior angles are two non - adjacent interior angles on opposite sides of a transversal.

Step2: Analyze each option

• $\angle GHK$ and $\angle GHF$ are adjacent angles, not alternate - interior angles.
• $\angle GHK$ and $\angle IHF$ are vertical angles, not alternate - interior angles.
• $\angle GHK$ and $\angle JKH$ are on opposite sides of the transversal $NF$ and are non - adjacent interior angles formed by the transversal and lines $JL$ and $GI$, so they are alternate - interior angles.
• $\angle GHK$ and $\angle LKH$ have no such special angle relationship as alternate - interior angles.

Answer:

$\angle GHK$ and $\angle JKH$