Question

select all the pairs of alternate exterior angles.

Explanation:

Step1: Recall the definition of alternate exterior angles

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

Step2: Analyze each pair

• For \(\angle LKN\) and \(\angle ONK\):

They lie outside the lines \(JL\) and \(MO\) and on opposite sides of the transversal \(IP\). So they are alternate exterior angles.

• For \(\angle ONP\) and \(\angle MNP\):

These are adjacent angles (they share a common side \(NP\)), so they are not alternate exterior angles.

• For \(\angle ONP\) and \(\angle JKI\):

They lie outside the lines \(JL\) and \(MO\) and on opposite sides of the transversal \(IP\). So they are alternate exterior angles.

• For \(\angle LKI\) and \(\angle JKN\):

These are vertical angles (opposite angles formed by the intersection of two lines), so they are not alternate exterior angles.

Answer:

\(\angle LKN\) and \(\angle ONK\), \(\angle ONP\) and \(\angle JKI\)