Question

look at this diagram: if $overleftrightarrow{oq}$ and $overleftrightarrow{rt}$ are parallel lines and $mangle qpn = 60^{circ}$, what is $mangle rsu$?

Explanation:

Step1: Identify angle - relationship

$\angle QPN$ and $\angle RSU$ are corresponding angles as $OQ\parallel RT$ and they are on the same side of the transversal $NU$.

Step2: Apply corresponding - angles property

Corresponding angles formed by parallel lines and a transversal are congruent. So $m\angle RSU=m\angle QPN$.

Answer:

$60$