Question

jl and mo are parallel lines. which angles are alternate exterior angles? ∠lki and ∠onp ∠onk and ∠jkn ∠mnp and ∠lki ∠lkn and ∠mnp

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 \(\angle LKI\) and \(\angle ONP\): \(\angle LKI\) is on one side of the transversal \(PI\) and \(\angle ONP\) is not in the correct position relative to the parallel lines \(JL\) and \(MO\) to be alternate exterior angles.
• For \(\angle ONK\) and \(\angle JKN\): These are adjacent angles, not alternate exterior angles.
• For \(\angle MNP\) and \(\angle LKI\): \(\angle MNP\) and \(\angle LKI\) do not satisfy the non - adjacent and position (outside the parallel lines and opposite sides of the transversal) criteria for alternate exterior angles.
• For \(\angle LKN\) and \(\angle MNP\): \(\angle LKN\) and \(\angle MNP\) lie outside the parallel lines \(JL\) and \(MO\) and on opposite sides of the transversal \(PI\).

Answer:

\(\angle LKN\) and \(\angle MNP\)