Question

look at this diagram: if \\( \overleftrightarrow { p r } \\) and \\( \overleftrightarrow { s u } \\) are parallel lines and \\( m \angle r q o = 46 ^ { \circ } \\), what is \\( m \angle s t v \\)?

Explanation:

Step1: Identify vertical angles

$\angle RQO$ and $\angle PQT$ are vertical angles, so $m\angle PQT = m\angle RQO = 46^\circ$.

Step2: Use corresponding angles property

Since $PR \parallel SU$, $\angle PQT$ and $\angle STV$ are corresponding angles, so $m\angle STV = m\angle PQT = 46^\circ$.

Answer:

46