Question

rt and uw are parallel lines. which angles are vertical angles? ∠uvx and ∠wvs ∠tsq and ∠rsq ∠wvs and ∠uvs ∠rsq and ∠wvx

Explanation:

Step1: Recall the definition of vertical angles

Vertical angles are a pair of non - adjacent angles formed by the intersection of two lines. They are opposite each other and are equal in measure.

Step2: Analyze each option

• For $\angle UVX$ and $\angle WVS$: These are vertical angles as they are formed by the intersection of lines $XQ$ and $UW$.
• For $\angle TSQ$ and $\angle RSQ$: These are adjacent angles (they share a common side $SQ$), not vertical angles.
• For $\angle WVS$ and $\angle UVS$: These are adjacent angles (they share a common side $VS$), not vertical angles.
• For $\angle RSQ$ and $\angle WVX$: These are not formed by the intersection of the same two lines, so they are not vertical angles.

Answer:

$\angle UVX$ and $\angle WVS$