Question

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

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 (interior) and on opposite sides of the transversal.

Step2: Analyze Each Pair

• ∠RSU and ∠QPS: ∠RSU is outside the region between \( \overleftrightarrow{RT} \) and \( \overleftrightarrow{OQ} \), so not interior.
• ∠RSP and ∠QPS: \( \overleftrightarrow{RT} \parallel \overleftrightarrow{OQ} \), transversal \( \overleftrightarrow{UN} \). ∠RSP is between \( \overleftrightarrow{RT} \) and \( \overleftrightarrow{OQ} \) (interior), ∠QPS is also interior, and they are on opposite sides of the transversal.
• ∠OPS and ∠QPS: These are adjacent angles (form a linear pair), not alternate interior.
• ∠QPS and ∠TSP: ∠TSP is not between the parallel lines in the correct orientation for alternate interior with ∠QPS.

Answer:

∠RSP and ∠QPS