Answer
m$\angle$x=32$^{\circ}$
m$\angle$y=30$^{\circ}$
Work Step by Step
32+90+m$\angle$=180
m$\angle$=58
m$\angle$y+28+(180-m$\angle$)=180
m$\angle$y=30$^{\circ}$
90+m$\angle$+m$\angle$x=180
90+58+m$\angle$x=180
m$\angle$x=32$^{\circ}$