Question

which angles are corresponding angles? (image of lines and angles with points n, o, p, m, q, r, s, t) options: ∠nor and ∠srt, ∠por and ∠nor, ∠nor and ∠qrt, ∠nor and ∠pom

Explanation:

Step1: Recall Corresponding Angles Definition

Corresponding angles are formed when a transversal intersects two parallel lines, and they occupy the same relative position at each intersection. Here, lines \( NP \) and \( QS \) are parallel (implied by the diagram's structure), and transversal \( MT \) intersects them at \( O \) and \( R \) respectively.

Step2: Analyze Each Option

• Option 1: \( \angle NOR \) and \( \angle SRT \)

\( \angle NOR \) is at the intersection of \( NP \) and \( MT \) (top - left relative to \( O \)), and \( \angle SRT \) is at the intersection of \( QS \) and \( MT \) (top - left relative to \( R \)). They occupy the same relative position, so they are corresponding angles.

• Option 2: \( \angle POR \) and \( \angle NOR \)

\( \angle POR \) and \( \angle NOR \) are adjacent angles forming a linear pair (they are supplementary and on a straight line \( NP \)), not corresponding angles.

• Option 3: \( \angle NOR \) and \( \angle QRT \)

\( \angle QRT \) is at the bottom - left relative to \( R \), while \( \angle NOR \) is at the top - left relative to \( O \). Different relative positions, not corresponding.

• Option 4: \( \angle NOR \) and \( \angle POM \)

\( \angle POM \) is vertical to \( \angle NOR \)'s adjacent angle, not corresponding.

Answer:

\( \angle NOR \) and \( \angle SRT \)