Question

look at this diagram: if $overleftrightarrow{np}$ and $overleftrightarrow{qs}$ are parallel lines and $mangle{sro}=59^{circ}$, what is $mangle{pom}$?

Explanation:

Step1: Identify angle - type

$\angle SRO$ and $\angle POM$ are corresponding angles as $\overleftrightarrow{NP}$ and $\overleftrightarrow{QS}$ are parallel lines and $TM$ is a transversal.

Step2: Apply corresponding - angles property

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

Answer:

$59$