Question

look at this diagram: if $overleftrightarrow{su}$ and $overleftrightarrow{vx}$ are parallel lines and $mangle xwy = 66^{circ}$, what is $mangle utw?$

Explanation:

Step1: Identify angle - relationship

$\angle XWY$ and $\angle UTW$ are vertical angles.

Step2: Apply vertical - angle property

Vertical angles are congruent. So $m\angle UTW=m\angle XWY$.

Answer:

$66$