Question

look at this diagram: if $overleftrightarrow{qs}$ and $overleftrightarrow{tv}$ are parallel lines and $mangle qru = 125^{circ}$, what is $mangle vur$?

Explanation:

Step1: Identify angle - relationship

$\angle QRU$ and $\angle VUR$ 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 $QS\parallel TV$ and $\angle QRU = 125^{\circ}$, then $m\angle VUR=m\angle QRU$.

Answer:

$125$