Question

gi and jl are parallel lines. which angles are alternate exterior angles? ∠ihf and ∠ikh ∠ihf and ∠jkm ∠ihf and ∠ihk ∠ihf and ∠ghk

Explanation:

Step1: Recall the definition of alternate exterior angles

Alternate exterior angles are non - adjacent exterior angles that lie on opposite sides of the transversal.

Step2: Analyze each option

• For \(\angle IHF\) and \(\angle IKH\): \(\angle IKH\) is an interior angle, so this pair is not alternate exterior angles.
• For \(\angle IHF\) and \(\angle JKM\): \(\angle IHF\) is an exterior angle, \(\angle JKM\) is an exterior angle, and they lie on opposite sides of the transversal \(FM\).
• For \(\angle IHF\) and \(\angle IHK\): These two angles are adjacent, so they are not alternate exterior angles.
• For \(\angle IHF\) and \(\angle GHK\): These two angles are adjacent, so they are not alternate exterior angles.

Answer:

\(\angle IHF\) and \(\angle JKM\)