Question

select all the pairs of consecutive interior angles.

Explanation:

Step1: Recall the definition of consecutive interior angles

Consecutive interior angles are two interior angles on the same side of the transversal.

Step2: Analyze each pair

• For \(\angle QRO\) and \(\angle NOR\): They are on the same side of the transversal \(NT\) and between the lines \(NP\) and \(QS\), so they are consecutive interior angles.
• For \(\angle POR\) and \(\angle QRT\): They are on the same side of the transversal \(NT\) and between the lines \(NP\) and \(QS\), so they are consecutive interior angles.
• For \(\angle QRT\) and \(\angle POM\): \(\angle POM\) and \(\angle POR\) are vertical angles. \(\angle QRT\) and \(\angle POR\) are consecutive interior angles, so \(\angle QRT\) and \(\angle POM\) are also consecutive interior angles (since \(\angle POM=\angle POR\)).
• For \(\angle SRT\) and \(\angle QRT\): They are adjacent angles (form a linear - pair), not consecutive interior angles.

Answer:

\(\angle QRO\) and \(\angle NOR\), \(\angle POR\) and \(\angle QRT\), \(\angle QRT\) and \(\angle POM\)