Question

look at this diagram: if $overleftrightarrow{ln}$ and $overleftrightarrow{oq}$ are parallel lines and $mangle{lmp}=134^{circ}$, what is $mangle{qpm}$?

Explanation:

Step1: Identify angle - relationship

$\angle LMP$ and $\angle QPM$ are vertical angles.

Step2: Apply vertical - angle property

Vertical angles are congruent. So $m\angle QPM=m\angle LMP$.

Answer:

$134$