Question

which angles are alternate interior angles? ∠pqt and ∠utq ∠stq and ∠pqo ∠rqo and ∠stv ∠rqt and ∠utv

Explanation:

Step1: Recall alternate - interior angles definition

Alternate - interior angles are formed when a transversal intersects two lines. They are on the inside of the two lines and on opposite sides of the transversal.

Step2: Analyze each option

For two lines \(PR\) and \(SU\) intersected by transversal \(OV\):

• \(\angle PQT\) and \(\angle UTQ\) are on the inside of \(PR\) and \(SU\) and on opposite sides of \(OV\).
• \(\angle STQ\) and \(\angle PQO\): \(\angle PQO\) is not an interior - angle formed by \(PR\) and \(SU\) with transversal \(OV\).
• \(\angle RQO\) and \(\angle STV\): \(\angle RQO\) is not an interior - angle formed by \(PR\) and \(SU\) with transversal \(OV\), and \(\angle STV\) is an exterior - angle.
• \(\angle RQT\) and \(\angle UTV\): \(\angle UTV\) is an exterior - angle.

Answer:

\(\angle PQT\) and \(\angle UTQ\)