Question

select all the pairs of alternate exterior angles.

∠poq and ∠pol
∠mlj and ∠mlo
∠poq and ∠klj
∠mlj and ∠noq

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 the given angles

In the figure with lines \(KM\) and \(NP\) cut by transversal \(JQ\):

• \(\angle POQ\) and \(\angle POL\): They are non - adjacent, outside lines \(KM\) and \(NP\) and on opposite sides of transversal \(JQ\).
• \(\angle MLJ\) and \(\angle MLO\): They are non - adjacent, outside lines \(KM\) and \(NP\) and on opposite sides of transversal \(JQ\).
• \(\angle POQ\) and \(\angle KLJ\): They are non - adjacent, outside lines \(KM\) and \(NP\) and on opposite sides of transversal \(JQ\).
• \(\angle MLJ\) and \(\angle NOQ\): They are non - adjacent, outside lines \(KM\) and \(NP\) and on opposite sides of transversal \(JQ\).

Answer:

\(\angle POQ\) and \(\angle POL\), \(\angle MLJ\) and \(\angle MLO\), \(\angle POQ\) and \(\angle KLJ\), \(\angle MLJ\) and \(\angle NOQ\)