Question

look at this diagram: if $overleftrightarrow{ik}$ and $overleftrightarrow{ln}$ are parallel lines and $mangle{nmo}=70^{circ}$, what is $mangle{nmj}$?

Explanation:

Step1: Identify angle - relationship

$\angle NMO$ and $\angle NMJ$ are supplementary angles (linear - pair of angles).

Step2: Use the supplementary - angle formula

The sum of two supplementary angles is $180^{\circ}$. Let $m\angle NMO = 70^{\circ}$ and $m\angle NMJ=x$. Then $x + 70^{\circ}=180^{\circ}$.

Step3: Solve for the unknown angle

$x=180^{\circ}-70^{\circ}=110^{\circ}$.

Answer:

$110$