Answer
x=120$^{\circ}$
m$\angle$4=40$^{\circ}$
Work Step by Step
Adjacent angles with outer edges that form a straight line are supplementary
m$\angle$1+m$\angle$4=180$^{\circ}$
x+20+$\frac{x}{3}$=180
$\frac{4x}{3}$=160
x=120$^{\circ}$
m$\angle$4=$\frac{x}{3}$=$\frac{120}{3}$=40$^{\circ}$
