Question

g i and j l are parallel lines. which angles are alternate exterior angles? ∠ghf and ∠lkm ∠jkh and ∠lkm ∠ghf and ∠jkm ∠ghk 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 \(\angle GHF\) and \(\angle LKM\):
• Lines \(\overrightarrow{GI}\) and \(\overrightarrow{JL}\) are parallel, and \(MF\) is the transversal.
• \(\angle GHF\) and \(\angle LKM\) lie outside the parallel lines \(\overrightarrow{GI}\) and \(\overrightarrow{JL}\) and on opposite sides of the transversal \(MF\).
• For \(\angle JKH\) and \(\angle LKM\): These are vertical angles (formed by the intersection of two lines at a point \(K\)), not alternate exterior angles.
• For \(\angle GHF\) and \(\angle JKM\): These do not satisfy the position requirements of alternate exterior angles.
• For \(\angle GHK\) and \(\angle IHK\): These are adjacent angles, not alternate exterior angles.

Answer:

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