m1 =m3……. vertically opposite angles are equal
Therefore, m1=84 degrees
m2=m4…….vertically opposite angles are equal
Therefore we can represent m2 and m4 as 2x because they are equal
m1+m2+m3+m4=360…….angles at a point=360
84+84+2x=360
2x=360-168
2x=192
x=192/2
x=96
Therefore m2=96 and m4=96