Question

look at this diagram: if $overleftrightarrow{oq}$ and $overleftrightarrow{rt}$ are parallel lines and $mangle{opn}=136^{circ}$, what is $mangle{qps}$?

Explanation:

Step1: Identify vertical - angle relationship

$\angle{OPN}$ and $\angle{QPS}$ are vertical angles.

Step2: Apply vertical - angle property

Vertical angles are congruent, so $m\angle{QPS}=m\angle{OPN}$.

Answer:

$136$