Question

look at this diagram: if rt and uw are parallel lines and m∠wvs = 122°, what is m∠tsv?

Explanation:

Step1: Recall linear - pair property

The sum of angles in a linear - pair is 180°. $\angle WVS$ and $\angle TSV$ form a linear - pair.
So, $m\angle WVS+m\angle TSV = 180^{\circ}$.

Step2: Solve for $m\angle TSV$

We know that $m\angle WVS = 122^{\circ}$. Substitute this value into the equation $m\angle WVS+m\angle TSV = 180^{\circ}$.
$m\angle TSV=180^{\circ}-m\angle WVS$.
$m\angle TSV = 180 - 122$.
$m\angle TSV = 58^{\circ}$.

Answer:

$58$