Question

look at this diagram: if $overleftrightarrow{su}$ and $overleftrightarrow{vx}$ are parallel lines and $mangle xwt = 115^{circ}$, what is $mangle stw$?

Explanation:

Step1: Identify angle - relationship

$\angle XWT$ and $\angle STW$ are alternate - interior angles.

Step2: Apply property of alternate - interior angles

When two parallel lines are cut by a transversal, alternate - interior angles are congruent. Since $\overleftrightarrow{SU}$ and $\overleftrightarrow{VX}$ are parallel and $\angle XWT = 115^{\circ}$, then $\angle STW=\angle XWT$.

Answer:

$115$