Question

look at this diagram! if (overline{xy}) and (overline{wz}) are parallel lines and (mangle rsq = 123.9^{circ}), what is (mangle uxy)?

Explanation:

Step1: Identify angle - relationship

$\angle R SQ$ and $\angle U VY$ are corresponding angles. When two parallel lines are cut by a transversal, corresponding angles are congruent.

Step2: Determine the measure of $\angle U VY$

Since $\angle R SQ = 123.9^{\circ}$ and $\angle R SQ\cong\angle U VY$, then $m\angle U VY = 123.9^{\circ}$.

Answer:

$123.9^{\circ}$