Question

look at this diagram: if $overleftrightarrow{pr}$ and $overleftrightarrow{su}$ are parallel lines and $mangle stv = 126^{circ}$, what is $mangle rqt$?

Explanation:

Step1: Identify angle - relationship

$\angle STV$ and $\angle RQT$ are corresponding angles since $\overleftrightarrow{PR}$ and $\overleftrightarrow{SU}$ are parallel lines and $\overleftrightarrow{VO}$ is a transversal.

Step2: Apply corresponding - angles property

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

Answer:

$126$