Question

look at this diagram: if $overleftrightarrow{km}$ and $overleftrightarrow{np}$ are parallel lines and $mangle klo = 55.2^{circ}$, what is $mangle noq$?

Explanation:

Step1: Identify angle - relationship

$\angle KLO$ and $\angle NOQ$ are vertical - angles.

Step2: Recall vertical - angle property

Vertical angles are congruent, so $m\angle NOQ=m\angle KLO$.

Answer:

$55.2$