Question

which angles are alternate interior angles? ∠qro and ∠nor ∠qro and ∠por ∠por and ∠nor ∠qrt and ∠qro

Explanation:

Step1: Recall the definition of alternate interior angles

Alternate interior angles are formed when a transversal crosses two parallel lines. They lie between the two parallel lines and on opposite sides of the transversal.

Step2: Analyze each pair of angles

• For \(\angle QRO\) and \(\angle NOR\):
• Lines \(QS\) and \(NP\) are parallel, and \(TM\) is the transversal.
• \(\angle QRO\) and \(\angle NOR\) lie between \(QS\) and \(NP\) and on opposite sides of transversal \(TM\).
• For \(\angle QRO\) and \(\angle POR\): \(\angle POR\) does not lie between the parallel lines \(QS\) and \(NP\) in the correct position for alternate - interior angles.
• For \(\angle POR\) and \(\angle NOR\): These angles do not satisfy the position requirements of alternate - interior angles (one is not between the parallel lines in the proper sense).
• For \(\angle QRT\) and \(\angle QRO\): These are adjacent angles, not alternate interior angles.

Answer:

\(\angle QRO\) and \(\angle NOR\)