Question

gt and jl are parallel lines. which angles are alternate exterior angles? ∠lkm and ∠ghf ∠jkm and ∠lkm ∠lkh and ∠ihf ∠jkm and ∠ihk

Explanation:

Step1: Recall the definition of alternate exterior angles

Alternate exterior angles are non - adjacent angles that lie outside the two parallel lines and on opposite sides of the transversal.

Step2: Analyze each option

• For \(\angle LKM\) and \(\angle GHF\):
• \(\angle LKM\) and \(\angle GHF\) lie outside the parallel lines \(GI\) and \(JL\) and on opposite sides of the transversal \(FM\).
• For \(\angle JKM\) and \(\angle LKM\):
• These are adjacent angles (they share a common side \(KM\)), so they are not alternate exterior angles.
• For \(\angle LKH\) and \(\angle IHF\):
• \(\angle LKH\) is between the parallel lines \(GI\) and \(JL\) (not exterior), so they are not alternate exterior angles.
• For \(\angle JKM\) and \(\angle IHK\):
• \(\angle JKM\) is on one side of the transversal and \(\angle IHK\) is not in the correct position relative to the parallel lines and transversal for alternate exterior angles.

Answer:

\(\angle LKM\) and \(\angle GHF\)