Answer:
x = 10, y = 20
Step-by-step explanation:
Form a system of equations:
From the picture at the bottom you can see that vertical angles are equal, so:
[tex]3x + 2y = 70[/tex]
Then, since the angles all together will add up to 360, you can do
[tex]3x+2y+9x+y+70+9x+y=360[/tex]
[tex]21x+4y+70=360[/tex]
subtract 70 from both sides
[tex]21x + 4y = 290[/tex]
With the equation 3x + 2y = 70, multiply both sides by 2
[tex]6x+4y=140[/tex]
Subtract the two equations:
[tex]15x=150\\x=10[/tex]
Plug this into one of the original equations
[tex]30+2y=70\\2y = 40\\y=20[/tex]
