Question

look at this diagram: if oq and rt are parallel lines and m∠ops = 121°, what is m∠opn

Explanation:

Step1: Recall angle - sum property

$\angle OPS$ and $\angle OPN$ form a linear - pair. The sum of angles in a linear - pair is $180^{\circ}$.

Step2: Set up the equation

Let $m\angle OPN=x$. Then $m\angle OPS + x=180^{\circ}$.

Step3: Substitute the value of $\angle OPS$

Given $m\angle OPS = 121^{\circ}$, we have $121^{\circ}+x = 180^{\circ}$.

Step4: Solve for $x$

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

Answer:

$59$