Question

look at this diagram: if $overleftrightarrow{rt}$ and $overleftrightarrow{uw}$ are parallel lines and $mangle rsq = 123^{circ}$, what is $mangle tsv$?

Explanation:

Step1: Identify angle - relationship

$\angle RSQ$ and $\angle TSV$ are supplementary angles.

Step2: Recall supplementary - angle property

Supplementary angles add up to $180^{\circ}$, so $m\angle RSQ + m\angle TSV=180^{\circ}$.

Step3: Solve for $m\angle TSV$

$m\angle TSV = 180^{\circ}-m\angle RSQ$. Substitute $m\angle RSQ = 123^{\circ}$, then $m\angle TSV=180 - 123=57^{\circ}$.

Answer:

$57$