Question

look at this diagram: if $overleftrightarrow{oq}$ and $overleftrightarrow{rt}$ are parallel lines and $mangle rsu = 47^{circ}$, what is $mangle tsp$?

Explanation:

Step1: Identify vertical - angle relationship

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

Step2: Apply vertical - angle property

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

Answer:

$47^{\circ}$