Answer
x=180$^{\circ}$
m$\angle$2=80$^{\circ}$
Work Step by Step
Adjacent angles with outer edges that form a straight line are supplementary
m$\angle$2+m$\angle$3=180$^{\circ}$
$\frac{x}{2}$-10+$\frac{x}{3}$+40=180$^{\circ}$
$\frac{x}{2}$+$\frac{x}{3}$=150$^{\circ}$
5x=900$^{\circ}$
x=180$^{\circ}$
m$\angle$2=$\frac{x}{2}$-10=$\frac{180}{2}$-10=80$^{\circ}$
