Question

look at this diagram: if $overleftrightarrow{oq}$ and $overleftrightarrow{rt}$ are parallel lines and $mangle ops = 51^{circ}$, what is $mangle tsp$?

Explanation:

Step1: Identify angle - relationship

$\angle OPS$ and $\angle TSP$ are vertical angles.

Step2: Apply vertical - angle property

Vertical angles are congruent. So $m\angle TSP=m\angle OPS$.

Answer:

$51$