Question

look at this diagram: if (overleftrightarrow{pr}) and (overleftrightarrow{su}) are parallel lines and (mangle pqt = 122^{circ}), what is (mangle stv?)

Explanation:

Step1: Identify angle - relationship

$\angle PQT$ and $\angle STV$ are corresponding angles.

Step2: Apply property of corresponding angles

For parallel lines $\overleftrightarrow{PR}$ and $\overleftrightarrow{SU}$, corresponding angles are equal. So $m\angle STV=m\angle PQT$.

Answer:

$122$