Answer
x=20$^{\circ}$
y=10$^{\circ}$
m$\angle$8=110$^{\circ}$
Work Step by Step
m$\angle$1+m$\angle$2=180
5x+y+3x+y=180
2y=180-8x
y=90-4x
m$\angle$1=m$\angle$8
5x+y=3x+5y
Substitute for Y.
5x+(90-4x)=3x+5(90-4x)
x+90=3x+450-20x
18x=360
x=20$^{\circ}$
Substitute for X.
y=90-4x
y=90-4(20)
y=10$^{\circ}$
m$\angle$8=3x+5y
m$\angle$8=3(20)+5(10)
m$\angle$8=110$^{\circ}$
