Question

look at this diagram: if $overleftrightarrow{su}$ and $overleftrightarrow{vx}$ are parallel lines and $mangle str = 110^{circ}$, what is $mangle vwy$?

Explanation:

Step1: Identify angle - relationship

$\angle STR$ and $\angle WTX$ are vertical - angles. Vertical angles are equal. So, $m\angle WTX=m\angle STR = 110^{\circ}$.

Step2: Use parallel - line property

Since $\overleftrightarrow{SU}$ and $\overleftrightarrow{VX}$ are parallel lines, $\angle VWY$ and $\angle WTX$ are corresponding angles. Corresponding angles formed by parallel lines and a transversal are equal. So, $m\angle VWY=m\angle WTX$.

Answer:

$110$