Question

which angles are vertical angles? ∠tsq and ∠wvs ∠rsq and ∠tsq ∠rsv and ∠tsq ∠uvx and ∠uvs

Explanation:

Step1: Recall vertical - angle definition

Vertical angles are formed when two lines intersect. They are opposite each other and are congruent.

Step2: Analyze each option

• For $\angle TSQ$ and $\angle WVS$, the lines do not intersect at a common vertex to form vertical angles.
• For $\angle RSQ$ and $\angle TSQ$, they are adjacent angles, not vertical angles.
• For $\angle RSV$ and $\angle TSQ$, they are not formed by the intersection of the same two - line pairs.
• For $\angle UVX$ and $\angle UVS$, they are vertical angles as they are formed by the intersection of line $XQ$ and line $UW$ and are opposite each other at the vertex $V$.

Answer:

$\angle UVX$ and $\angle UVS$