Question

which angles are consecutive interior angles? ∠nol and ∠klo ∠nol and ∠mlj ∠nol and ∠noq ∠nol and ∠poq

Explanation:

Step1: Recall definition of consecutive - interior angles

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

Step2: Analyze each option

For the lines \(NP\) and \(KM\) cut by the transversal \(QJ\):

• \(\angle NOL\) and \(\angle KLO\): \(\angle NOL\) and \(\angle KLO\) are interior angles on the same - side of the transversal \(QJ\).
• \(\angle NOL\) and \(\angle MLJ\): \(\angle MLJ\) is an exterior angle, so this pair is not consecutive - interior angles.
• \(\angle NOL\) and \(\angle NOQ\): \(\angle NOQ\) is an exterior angle, so this pair is not consecutive - interior angles.
• \(\angle NOL\) and \(\angle POQ\): \(\angle POQ\) is an exterior angle, so this pair is not consecutive - interior angles.

Answer:

\(\angle NOL\) and \(\angle KLO\)