Question

look at this diagram: if rt and uw are parallel lines and m∠rsq = 116.8°, what is m∠uvs?

Explanation:

Step1: Identify angle - relationship

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

Step2: Apply vertical - angle property

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

Answer:

$116.8$