Question

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

Explanation:

Step1: Recall definition of alternate - interior angles

Alternate - interior angles are formed when a transversal intersects two parallel lines. They are on the interior of the two parallel lines and on opposite sides of the transversal.

Step2: Analyze the given angles

In the figure, if we consider the two sets of intersecting lines, for the angles formed by the transversal and the parallel - like lines, $\angle{GHK}$ and $\angle{LKH}$ are on the interior of the two lines (the lines containing points $G$, $I$ and $J$, $L$) and on opposite sides of the transversal (the line containing $F$, $M$).

Answer:

$\angle{GHK}$ and $\angle{LKH}$