Question

oq and rt are parallel lines.
which angles are alternate interior angles?
∠qps and ∠ops ∠qps and ∠rsu
∠qps and ∠rsp ∠qps and ∠qpn

Explanation:

Step1: Recall the definition of alternate interior angles

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

Step2: Analyze each option

• For \(\angle QPS\) and \(\angle OPS\): These angles are adjacent, not alternate interior angles.
• For \(\angle QPS\) and \(\angle RSU\): \(\angle RSU\) is not between the two parallel lines \(RT\) and \(OQ\), so they are not alternate interior angles.
• For \(\angle QPS\) and \(\angle RSP\): Since \(\overleftrightarrow{OQ}\parallel\overleftrightarrow{RT}\) and \(\overleftrightarrow{UN}\) is the transversal. \(\angle QPS\) and \(\angle RSP\) lie between the parallel lines \(OQ\) and \(RT\) and on opposite sides of the transversal \(UN\).
• For \(\angle QPS\) and \(\angle QPN\): These angles are adjacent (they form a linear - pair), not alternate interior angles.

Answer:

\(\angle QPS\) and \(\angle RSP\)