Question

if $overleftrightarrow{oq}$ and $overleftrightarrow{rt}$ are parallel lines and $mangle tsp = 67^{circ}$, what is $mangle ops$?

Explanation:

Step1: Identify angle - type relationship

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

Step2: Apply the property of alternate - interior angles

When two parallel lines are cut by a transversal, alternate - interior angles are congruent. Since $\overleftrightarrow{OQ}\parallel\overleftrightarrow{RT}$ and $\angle TSP = 67^{\circ}$, then $\angle OPS=\angle TSP$.

Answer:

$67$