Question

np and qs are parallel lines. which angles are alternate interior angles? ∠nor and ∠sro ∠nor and ∠por ∠qrt and ∠nor ∠sro and ∠por

Explanation:

Step1: Recall alternate interior angles definition

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 option

• For \(\angle NOR\) and \(\angle SRO\):
• Lines \(NP\parallel QS\) and transversal \(TM\). \(\angle NOR\) and \(\angle SRO\) lie between \(NP\) and \(QS\) and on opposite sides of \(TM\).
• For \(\angle NOR\) and \(\angle POR\):
• These angles are adjacent, not alternate interior.
• For \(\angle QRT\) and \(\angle NOR\):
• \(\angle QRT\) is not between the two parallel lines \(NP\) and \(QS\) in the correct sense for alternate - interior with \(\angle NOR\).
• For \(\angle SRO\) and \(\angle POR\):
• \(\angle POR\) is not between the two parallel lines \(NP\) and \(QS\) in the correct sense for alternate - interior with \(\angle SRO\).

Answer:

\(\angle NOR\) and \(\angle SRO\)