Question

np and qs are parallel lines. which angles are vertical angles? ∠pom and ∠nom ∠qrt and ∠nom ∠por and ∠nor ∠qrt and ∠sro

Explanation:

Step1: Recall the definition of vertical angles

Vertical angles are a pair of non - adjacent angles formed by the intersection of two lines. They are opposite each other and are equal in measure.

Step2: Analyze each option

• For \(\angle POM\) and \(\angle NOM\): These are adjacent angles (they share a common side \(OM\)), so they are not vertical angles.
• For \(\angle QRT\) and \(\angle NOM\): These angles are not formed by the intersection of the same two lines, so they are not vertical angles.
• For \(\angle POR\) and \(\angle NOR\): These are adjacent angles (they share a common side \(OR\)), so they are not vertical angles.
• For \(\angle QRT\) and \(\angle SRO\): These angles are formed by the intersection of lines \(QS\) and \(MT\). They are non - adjacent and opposite each other, so they are vertical angles.

Answer:

\(\angle QRT\) and \(\angle SRO\)