Question

look at this diagram: if $overleftrightarrow{rt}$ and $overleftrightarrow{uw}$ are parallel lines and $mangle rsq = 40.5^{circ}$, what is $mangle uvs?$

Explanation:

Step1: Identify angle - relationship

$\angle RSQ$ and $\angle UVS$ are vertical angles.

Step2: Recall vertical - angle property

Vertical angles are congruent. So $m\angle UVS=m\angle RSQ$.

Answer:

$40.5$