Question 501733
First, we make two equations
3x + 2y + 6x + y = 180
8x - y + 3x + 2y= 180
==================================
next, we combine like terms, multiply equation 2 by 3,  and add the two equations
9x  + 3y = 180
11x + y = 180
-33x -3y = -540
-24x = -360
Solve for x
x = 15
equation 1 
Solve for y.
9(15) + 3y = 180
135 + 3y = 180
3y = 45
y = 15
=====================================================
angle 1 = 8(15) - 15 = 105 degrees.
angle 2 = 3(15) + 2(15) = 75 degrees
angle 3 = 6(15) + 15 = 105 degrees.
75 degrees + 105 degrees = 180 degrees.
105 degrees + 75 degrees = 180 degrees.
This does check. 
Cleomenius.