Question

look at this diagram:
if \\( \overleftrightarrow{mo} \\) and \\( \overleftrightarrow{pr} \\) are parallel lines and \\( m\angle pqn = 119^\circ \\), what is \\( m\angle onl \\)?
\\( \square^\circ \\)

Explanation:

Step1: Identify supplementary angle

$\angle PQN$ and $\angle PQS$ are supplementary, so $m\angle PQS = 180^\circ - 119^\circ$

Step2: Calculate supplementary angle value

$m\angle PQS = 61^\circ$

Step3: Use parallel line alternate interior angles

Since $\overleftrightarrow{MO} \parallel \overleftrightarrow{PR}$, $\angle ONL = \angle PQS$ (alternate interior angles are congruent)

Answer:

$61$