Question

look at this diagram: if $overleftrightarrow{km}$ and $overleftrightarrow{np}$ are parallel lines and $mangle klo = 126^{circ}$, what is $mangle noq$?

Explanation:

Step1: Identify angle - type relationship

$\angle KLO$ and $\angle NOQ$ are corresponding angles.

Step2: Apply the property of corresponding angles

When two parallel lines are cut by a transversal, corresponding angles are equal. Since $\overleftrightarrow{KM}$ and $\overleftrightarrow{NP}$ are parallel and $QJ$ is the transversal, $m\angle NOQ=m\angle KLO$.

Answer:

$126$