Answer
x=12$^{\circ}$
y=4$^{\circ}$
m$\angle$7=76$^{\circ}$
Work Step by Step
m$\angle$3=m$\angle$6
6x+y=4x+7y
2x=6y
x=3y
m$\angle$3+m$\angle$5=180$^{\circ}$
6x+y+8x+2y=180$^{\circ}$
14x+3y=180$^{\circ}$
Substitute for X.
14(3y)+3y=180$^{\circ}$
45y=180$^{\circ}$
y=4$^{\circ}$
Substitute for Y.
x=3y
x=3(4)
x=12$^{\circ}$
m$\angle$7=m$\angle$3=6x+y
m$\angle$7=6(12)+(4)
m$\angle$7=76$^{\circ}$
