Question

look at this diagram:
if \\(\overleftrightarrow{np}\\) and \\(\overleftrightarrow{qs}\\) are parallel lines and \\(m\angle sro = 69^\circ\\), what is \\(m\angle por\\)?

Explanation:

Step1: Identify angle relationship

$\angle SRO$ and $\angle POR$ are consecutive interior angles formed by a transversal intersecting two parallel lines. Consecutive interior angles are supplementary, meaning their sum is $180^\circ$.

Step2: Calculate $\angle POR$

Subtract the measure of $\angle SRO$ from $180^\circ$.
$m\angle POR = 180^\circ - m\angle SRO$
$m\angle POR = 180^\circ - 69^\circ$

Answer:

$111^\circ$