Question

\\( \overleftrightarrow { p r } \\) and \\( \overleftrightarrow { s u } \\) are parallel lines.

which angles are vertical angles?

\\( \angle s t v \\) and \\( \angle r q t \\) \\( \angle s t v \\) and \\( \angle p q t \\)

\\( \angle s t v \\) and \\( \angle u t q \\) \\( \angle s t v \\) and \\( \angle r q o \\)

Explanation:

Step1: Recall the definition of vertical angles

Vertical angles are the angles opposite each other when two lines cross.

Step2: Analyze each option

• For $\angle STV$ and $\angle RQT$: They are not opposite each other when two lines cross.
• For $\angle STV$ and $\angle PQT$: They are not opposite each other when two lines cross.
• For $\angle STV$ and $\angle UTQ$: Lines $VQ$ and $SU$ cross at point $T$. $\angle STV$ and $\angle UTQ$ are opposite each other at the intersection of these two lines.
• For $\angle STV$ and $\angle RQO$: They are not opposite each other when two lines cross.

Answer:

$\angle STV$ and $\angle UTQ$