Question

select all the pairs of corresponding angles.
∠pqt and ∠stv ∠utv and ∠rqt
∠pqo and ∠stq ∠utq and ∠rqo

Explanation:

Step1: Recall Corresponding Angles Definition

Corresponding angles are in the same relative position at each intersection where a transversal crosses two parallel lines.

Step2: Analyze Each Pair

• ∠PQT and ∠STV: ∠PQT is at intersection of transversal and line PR, ∠STV is at intersection of transversal and line SU. Same relative position (top - left), so corresponding.
• ∠UTV and ∠RQT: ∠UTV is at bottom - left of SU - transversal, ∠RQT is at bottom - left of PR - transversal. Same relative position, corresponding.
• ∠PQO and ∠STQ: ∠PQO is at bottom - right of PR - transversal, ∠STQ is at top - right of SU - transversal. Different relative positions, not corresponding.
• ∠UTQ and ∠RQO: ∠UTQ is at bottom - right of SU - transversal, ∠RQO is at bottom - right of PR - transversal. Same relative position, corresponding.

Answer:

∠PQT and ∠STV, ∠UTV and ∠RQT, ∠UTQ and ∠RQO