Question

look at this diagram: if $overleftrightarrow{pr}$ and $overleftrightarrow{su}$ are parallel lines and $mangle rqt = 120^{circ}$, what is $mangle utv$?

Explanation:

Step1: Identify angle - relationship

$\angle RQT$ and $\angle UTV$ are corresponding angles.

Step2: Apply property of corresponding angles

When two parallel lines are cut by a transversal, corresponding angles are equal. Since $\overleftrightarrow{PR}\parallel\overleftrightarrow{SU}$ and $\angle RQT = 120^{\circ}$, then $m\angle UTV=m\angle RQT$.

Answer:

$120^{\circ}$