Question

look at this diagram: if (overleftrightarrow{pr}) and (overleftrightarrow{su}) are parallel lines and (mangle stq = 134^{circ}), what is (mangle pqo)?

Explanation:

Step1: Identify angle - relationship

$\angle STQ$ and $\angle PQO$ are corresponding angles.

Step2: Apply property of corresponding angles

When two parallel lines are cut by a transversal, corresponding angles are congruent. So $m\angle PQO=m\angle STQ$.

Answer:

$134^{\circ}$