Question

look at this diagram: if $overleftrightarrow{mo}$ and $overleftrightarrow{pr}$ are parallel lines and $mangle onl = 59^{circ}$, what is $mangle onq$?

Explanation:

Step1: Recall linear - pair property

Linear - pair angles are supplementary, meaning they add up to 180°. $\angle ONL$ and $\angle ONQ$ form a linear pair.

Step2: Set up the equation

Let $m\angle ONL = 59^{\circ}$ and $m\angle ONQ=x$. Then $m\angle ONL + m\angle ONQ=180^{\circ}$, so $59^{\circ}+x = 180^{\circ}$.

Step3: Solve for $x$

$x=180^{\circ}- 59^{\circ}=121^{\circ}$.

Answer:

$121$