Question

look at this diagram: if (overrightarrow{oq}) and (overrightarrow{rt}) are parallel lines and (mangle{opn}=47^{circ}), what is (mangle{tsu})?

Explanation:

Step1: Identify angle - relationship

$\angle OPN$ and $\angle TSU$ are corresponding angles. When two parallel lines are cut by a transversal, corresponding angles are congruent.

Step2: Determine angle measure

Since $\angle OPN = 47^{\circ}$ and $\angle TSU$ is a corresponding angle to $\angle OPN$, then $m\angle TSU=47^{\circ}$.

Answer:

$47$