Question

what is m∠pmn ?

Explanation:

Step1: Identify angle - sum relationship

The sum of angles around point $M$ is $180^{\circ}$. We know one angle is $90^{\circ}$ and another is $22^{\circ}$, and we want to find $\angle PMN$.

Step2: Set up the equation

Let $m\angle PMN=x$. Then $x + 90^{\circ}+22^{\circ}=180^{\circ}$.

Step3: Solve for $x$

$x=180^{\circ}-(90^{\circ} + 22^{\circ})$. First, calculate $90^{\circ}+22^{\circ}=112^{\circ}$. Then $x = 180^{\circ}-112^{\circ}=68^{\circ}$.

Answer:

$68^{\circ}$