Question

look at this diagram: if $overleftrightarrow{oq}$ and $overleftrightarrow{rt}$ are parallel lines and $mangle qps = 139^{circ}$, what is $mangle rsp?$

Explanation:

Step1: Identify angle - relationship

$\angle QPS$ and $\angle RSP$ 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 $m\angle RSP=m\angle QPS$.

Answer:

$139$