Question

look at this diagram: if $overleftrightarrow{mo}$ and $overleftrightarrow{pr}$ are parallel lines and $mangle onl = 67^{circ}$, what is $mangle onq$?

Explanation:

Step1: Identify angle - relationship

$\angle ONL$ and $\angle ONQ$ are supplementary angles. Supplementary angles add up to $180^{\circ}$.

Step2: Set up the equation

Let $m\angle ONL = 67^{\circ}$ and $m\angle ONQ=x$. Then $m\angle ONL + m\angle ONQ=180^{\circ}$, so $67^{\circ}+x = 180^{\circ}$.

Step3: Solve for $x$

$x=180^{\circ}- 67^{\circ}=113^{\circ}$.

Answer:

$113$