Question

select all the pairs of consecutive interior angles. ∠nom and ∠qro ∠nor and ∠qro ∠nor and ∠nom ∠por and ∠sro

Explanation:

Step1: Recall the definition of consecutive interior angles

Consecutive interior angles are two interior angles that lie on the same side of the transversal and between the two lines.

Step2: Analyze each pair

• For \(\angle NOM\) and \(\angle QRO\): They are not between the two lines \(NP\) and \(QS\), so this pair is incorrect.
• For \(\angle NOR\) and \(\angle QRO\): They lie on the same side of the transversal \(MT\) and between the lines \(NP\) and \(QS\), so this pair is correct.
• For \(\angle NOR\) and \(\angle NOM\): They are adjacent angles at the same vertex \(O\), not consecutive interior angles, so this pair is incorrect.
• For \(\angle POR\) and \(\angle SRO\): They lie on the same side of the transversal \(MT\) and between the lines \(NP\) and \(QS\), so this pair is correct.

Answer:

\(\angle NOR\) and \(\angle QRO\), \(\angle POR\) and \(\angle SRO\)