Answer
m$\angle$A=80$^{\circ}$
m$\angle$B=100$^{\circ}$
m$\angle$C=80$^{\circ}$
m$\angle$D=100$^{\circ}$
Work Step by Step
m$\angle$A=m$\angle$C
$\frac{2x}{3}$=$\frac{x}{2}$+20
4x=3x+120
x=120
m$\angle$A=$\frac{x}{2}$+20
m$\angle$A=$\frac{120}{2}$+20
m$\angle$A=m$\angle$C=80
m$\angle$B=180-m$\angle$A
m$\angle$B=180-80
m$\angle$B=m$\angle$D=100$^{\circ}$