Question

look at this diagram: if $overleftrightarrow{ln}$ and $overleftrightarrow{oq}$ are parallel lines and $mangle lmk = 132^{circ}$, what is $mangle lmp$?

Explanation:

Step1: Identify angle - relationship

$\angle LMK$ and $\angle LMP$ are supplementary angles (linear - pair of angles).

Step2: Use the supplementary - angle formula

The sum of supplementary angles is $180^{\circ}$. Let $m\angle LMP=x$. Then $m\angle LMK + x=180^{\circ}$. Given $m\angle LMK = 132^{\circ}$, we have $x = 180^{\circ}-m\angle LMK$.

Step3: Calculate the angle measure

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

Answer:

$48$