Question

look at this diagram: if (overleftrightarrow{pr}) and (overleftrightarrow{su}) are parallel lines and (mangle pqt = 134^{circ}), what is (mangle stv)?

Explanation:

Step1: Identify angle - relationship

$\angle PQT$ and $\angle STV$ are corresponding angles as $\overleftrightarrow{PR}$ and $\overleftrightarrow{SU}$ are parallel lines and they are cut by a transversal.

Step2: Apply corresponding - angles property

Corresponding angles formed by parallel lines and a transversal are congruent. So, $m\angle STV=m\angle PQT$.

Answer:

$134$