Question

select all the pairs of alternate exterior angles.

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 given figure with lines \(NP\) and \(QS\) and transversal \(MT\):

• \(\angle NOR\) and \(\angle POR\): These angles are adjacent, not alternate exterior angles.
• \(\angle SRT\) and \(\angle NOM\): They lie outside lines \(NP\) and \(QS\) and on opposite sides of transversal \(MT\), so they are alternate exterior angles.
• \(\angle QRT\) and \(\angle POM\): They lie outside lines \(NP\) and \(QS\) and on opposite sides of transversal \(MT\), so they are alternate exterior angles.
• \(\angle QRT\) and \(\angle SRT\): These angles are adjacent, not alternate exterior angles.

Answer:

\(\angle SRT\) and \(\angle NOM\), \(\angle QRT\) and \(\angle POM\)