Question

look at this diagram: if $overleftrightarrow{pr}$ and $overleftrightarrow{su}$ are parallel lines and $mangle utv = 40^{circ}$, what is $mangle stq$?

Explanation:

Step1: Identify vertical - angle relationship

$\angle UTV$ and $\angle STQ$ are vertical angles.

Step2: Apply vertical - angle property

Vertical angles are congruent. So $m\angle STQ=m\angle UTV$.

Answer:

$40$