Question

rt and uw are parallel lines. select all the pairs of vertical angles. ∠wvs and ∠uvs ∠tsv and ∠rsq ∠tsq and ∠rsv ∠uvs and ∠wvx

Explanation:

Vertical angles are formed when two lines intersect. They are opposite each other and are equal in measure.

• For \( \angle TSV \) and \( \angle RSQ \): The lines \( RT \) and \( QX \) intersect at \( S \), forming these vertical angles.
• For \( \angle TSQ \) and \( \angle RSV \): The lines \( RT \) and \( QX \) intersect at \( S \), forming these vertical angles.
• \( \angle WVS \) and \( \angle UVS \): The lines \( UW \) and \( QX \) intersect at \( V \), forming these vertical angles.
• \( \angle UVS \) and \( \angle WVX \): These are not vertical angles. Vertical angles are formed by the intersection of two lines. Here, \( \angle UVS \) is at the intersection of \( UW \) and \( QX \), and \( \angle WVX \) is not formed by the same two - line intersection in a vertical - angle relationship.

Answer:

\(\angle WVS\) and \(\angle UVS\), \(\angle TSV\) and \(\angle RSQ\), \(\angle TSQ\) and \(\angle RSV\)