Question

look at this diagram; if $overleftrightarrow{np}$ and $overleftrightarrow{qs}$ are parallel lines and $mangle qro = 62^{circ}$, what is $mangle nom$?

Explanation:

Step1: Identify angle - relationship

$\angle QRO$ and $\angle NOM$ are corresponding angles.

Step2: Use property of corresponding angles

When two parallel lines are cut by a transversal, corresponding angles are equal. Since $NP\parallel QS$, $m\angle NOM=m\angle QRO$.

Answer:

$62$