Question

look at this diagram: if $overrightarrow{oq}$ and $overrightarrow{rt}$ are parallel lines and $mangle rsp = 50^{circ}$, what is $mangle ops$? work it out

Explanation:

Step1: Identify angle - relationship

$\angle RSP$ and $\angle OPS$ are alternate - interior angles.

Step2: Apply property of alternate - interior angles

When two parallel lines are cut by a transversal, alternate - interior angles are congruent. Since $\overrightarrow{OQ}\parallel\overrightarrow{RT}$ and $\angle RSP = 50^{\circ}$, then $\angle OPS=\angle RSP$.

Answer:

$50$