Question

which angles are alternate exterior angles? ∠lkm and ∠ghk ∠jkm and ∠ihf ∠lkm and ∠jkh ∠lkh and ∠ghf

Explanation:

Step1: Recall alternate - exterior angles definition

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

Step2: Analyze each option

For the given lines \(JL\) and \(GI\) with transversal \(MF\):

• \(\angle LKM\) and \(\angle GHK\): \(\angle LKM\) and \(\angle GHK\) are not alternate - exterior angles. \(\angle LKM\) is an interior angle formed by the intersection of the transversal with one of the lines.
• \(\angle JKM\) and \(\angle IHF\): \(\angle JKM\) and \(\angle IHF\) are alternate - exterior angles. They are non - adjacent, lie outside the lines \(JL\) and \(GI\), and on opposite sides of the transversal \(MF\).
• \(\angle LKM\) and \(\angle JKH\): These are vertical angles, not alternate - exterior angles.
• \(\angle LKH\) and \(\angle GHF\): \(\angle LKH\) is an interior angle, so they are not alternate - exterior angles.

Answer:

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