Question

look at this diagram: if rt and uw are parallel lines and m∠tsv = 58.7°, what is m∠rsv?

Explanation:

Step1: Identify angle - relationship

$\angle TSV$ and $\angle RSV$ are supplementary angles (linear - pair of angles).

Step2: Use the supplementary - angle property

The sum of supplementary angles is $180^{\circ}$. Let $m\angle RSV=x$. Then $x + m\angle TSV=180^{\circ}$.

Step3: Substitute the given value

Given $m\angle TSV = 58.7^{\circ}$, we have $x+58.7^{\circ}=180^{\circ}$.

Step4: Solve for $x$

$x=180^{\circ}-58.7^{\circ}=121.3^{\circ}$.

Answer:

$121.3$