Question

the shape mnop below is a parallelogram. what is the measure of ∠m? (note that the figure is not drawn to scale.)

Explanation:

Step1: Recall parallelogram property

Adjacent angles of a parallelogram are supplementary. $\angle M$ and $\angle O$ are adjacent.

Step2: Set up the equation

Let $\angle M=x$. Then $x + 148^{\circ}=180^{\circ}$.

Step3: Solve for $\angle M$

$x=180^{\circ}- 148^{\circ}=32^{\circ}$.

Answer:

$32^{\circ}$