Question

look at this diagram: if $overleftrightarrow{ik}$ and $overleftrightarrow{ln}$ are parallel lines and $mangle{lmo}=125^{circ}$, what is $mangle{nmo}$?

Explanation:

Step1: Recall angle - addition property

$\angle LMO+\angle NMO = 180^{\circ}$ (linear - pair of angles).

Step2: Solve for $\angle NMO$

$\angle NMO=180^{\circ}-\angle LMO$.
Since $\angle LMO = 125^{\circ}$, then $\angle NMO=180 - 125=55^{\circ}$.

Answer:

$55$