Question

look at this diagram: if (overleftrightarrow{rt}) and (overleftrightarrow{uw}) are parallel lines and (mangle tsv = 136^{circ}), what is (mangle rsv?)

Explanation:

Step1: Recall angle - addition property

$\angle TSV$ and $\angle RSV$ are supplementary angles, so $\angle TSV+\angle RSV = 180^{\circ}$.

Step2: Solve for $\angle RSV$

We know that $\angle TSV = 136^{\circ}$. Then $\angle RSV=180^{\circ}-\angle TSV$. Substitute $\angle TSV = 136^{\circ}$ into the equation: $\angle RSV = 180 - 136=44^{\circ}$.

Answer:

$44$