Question

look at this diagram: if $overleftrightarrow{mo}$ and $overleftrightarrow{pr}$ are parallel lines and $mangle pqs = 49^{circ}$, what is $mangle rqs$?

Explanation:

Step1: Recall angle - addition property

$\angle PQS+\angle RQS = 180^{\circ}$ (linear - pair of angles).

Step2: Solve for $\angle RQS$

$\angle RQS=180^{\circ}-\angle PQS$.
Since $\angle PQS = 49^{\circ}$, then $\angle RQS=180 - 49=131^{\circ}$.

Answer:

$131$