Question

look at this diagram: if $overleftrightarrow{pr}$ and $overleftrightarrow{su}$ are parallel lines and $mangle pqo = 124^{circ}$, what is $mangle stq$?

Explanation:

Step1: Identify angle - relationship

$\angle PQO$ and $\angle STQ$ are corresponding angles. When two parallel lines ($PR$ and $SU$) are cut by a transversal, corresponding angles are congruent.

Step2: Determine angle - measure

Since $\angle PQO = 124^{\circ}$ and $\angle PQO\cong\angle STQ$, then $m\angle STQ = 124^{\circ}$.

Answer:

$124$