Question

gi and jl are parallel lines. which angles are alternate interior angles? ∠jkm and ∠lkm ∠ihk and ∠jkh ∠ghf and ∠ghk ∠lkm and ∠lkh

Explanation:

Step1: Recall the definition of alternate interior angles

Alternate interior angles are non - adjacent interior angles that lie on opposite sides of the transversal when two parallel lines are cut by a transversal.

Step2: Analyze each pair

• For \(\angle JKM\) and \(\angle LKM\): These are adjacent angles, not alternate interior angles.
• For \(\angle IHK\) and \(\angle JKH\): Since \(\overleftrightarrow{GI}\parallel\overleftrightarrow{JL}\) and \(MF\) is the transversal. \(\angle IHK\) and \(\angle JKH\) are non - adjacent interior angles on opposite sides of the transversal \(MF\).
• For \(\angle GHF\) and \(\angle GHK\): These are adjacent angles, not alternate interior angles.
• For \(\angle LKM\) and \(\angle LKH\): These are adjacent angles, not alternate interior angles.

Answer:

\(\angle IHK\) and \(\angle JKH\)