Question

look at this diagram: if $overleftrightarrow{ln}$ and $overleftrightarrow{oq}$ are parallel lines and $mangle opr = 63^{circ}$, what is $mangle qpr$?

Explanation:

Step1: Recall linear - pair property

Two angles that form a linear - pair are supplementary, meaning their sum is 180°. $\angle OPR$ and $\angle QPR$ form a linear - pair.

Step2: Set up the equation

Let $m\angle QPR=x$. We know that $m\angle OPR + m\angle QPR=180^{\circ}$. Given $m\angle OPR = 63^{\circ}$, so $63^{\circ}+x = 180^{\circ}$.

Step3: Solve for $x$

$x=180^{\circ}-63^{\circ}=117^{\circ}$.

Answer:

$117$