Question

look at this diagram: if (overleftrightarrow{ik}) and (overleftrightarrow{ln}) are parallel lines and (mangle nmj = 48^{circ}), what is (mangle nmo?)

Explanation:

Step1: Recall angle - relationship

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

Step2: Use the supplementary - angle formula

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

Step3: Substitute the given value

Given $m\angle NMJ = 48^{\circ}$, we have $x+48^{\circ}=180^{\circ}$.

Step4: Solve for $x$

$x=180^{\circ}-48^{\circ}=132^{\circ}$.

Answer:

$132$