Question

look at this diagram: if $overleftrightarrow{pr}$ and $overleftrightarrow{su}$ are parallel lines and $mangle stv = 118^{circ}$, what is $mangle pqt$?

Explanation:

Step1: Identify angle - relationship

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

Step2: Apply property of corresponding angles

When two parallel lines are cut by a transversal, corresponding angles are congruent. Since $\overleftrightarrow{PR}$ and $\overleftrightarrow{SU}$ are parallel and $\angle STV$ and $\angle PQT$ are corresponding angles, $m\angle PQT=m\angle STV$.

Answer:

$118$