Answer
m$\angle$A=83$^{\circ}$
m$\angle$B=97$^{\circ}$
m$\angle$C=83$^{\circ}$
m$\angle$BD=97$^{\circ}$
Work Step by Step
m$\angle$A+m$\angle$B=180
2x+3+3x-23=180
5x=200
x=40
m$\angle$A=2x+3
m$\angle$A=2(40)+3
m$\angle$A=m$\angle$C=83
m$\angle$B=3x-23
m$\angle$B=3(40)-23
m$\angle$B=m$\angle$D=97