Question

look at this diagram: if $overleftrightarrow{su}$ and $overleftrightarrow{vx}$ are parallel lines and $mangle vwt = 62.1^{circ}$, what is $mangle utw$?

Explanation:

Step1: Identify angle - relationship

$\angle VWT$ and $\angle UTW$ 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. So $m\angle UTW=m\angle VWT$.

Answer:

$62.1$