Question

look at this diagram:

if $overleftrightarrow{oq}$ and $overleftrightarrow{rt}$ are parallel lines and $m\angle qpn= 131^{\circ}$, what is $m\angle opn?$

Explanation:

Step1: Identify linear pair

$\angle QPN$ and $\angle OPN$ form a linear pair, so their sum is $180^\circ$.

Step2: Calculate $\angle OPN$

$m\angle OPN = 180^\circ - m\angle QPN$
$m\angle OPN = 180^\circ - 131^\circ$

Answer:

$49^\circ$