Question

pr and su are parallel lines.
which angles are vertical angles?
∠utq and ∠stv ∠utq and ∠stq
∠utq and ∠rqo ∠utq and ∠rqt

Explanation:

Vertical angles are formed when two lines intersect. They are opposite each other and are equal in measure. In the given diagram, when lines \( RV \) and \( SU \) intersect at point \( T \), \( \angle UTQ \) and \( \angle STV \) are opposite each other.

• \( \angle UTQ \) and \( \angle STQ \) are adjacent angles (they share a common side \( TQ \) and a common vertex \( T \)).
• \( \angle UTQ \) and \( \angle RQO \): There is no intersection of two lines to form vertical - angle relationship here.
• \( \angle UTQ \) and \( \angle PQT \): There is no intersection of two lines to form vertical - angle relationship here.

Answer:

\(\angle UTQ\) and \(\angle STV\)