Question

look at this diagram: if $overleftrightarrow{np}$ and $overleftrightarrow{qs}$ are parallel lines and $mangle pom = 64^{circ}$, what is $mangle sro$?

Explanation:

Step1: Identify angle - relationship

$\angle POM$ and $\angle SRO$ are corresponding angles.

Step2: Apply property of corresponding angles

For parallel lines $NP$ and $QS$ cut by transversal $TM$, corresponding angles are equal. So $m\angle SRO=m\angle POM$.

Answer:

$64^{\circ}$