Question

Find the values for x and y

Answer 1

x+4y+x+y= 4x+y=180
simplify by adding like terms
2x+5y= 4x+y=180
Subtract y from each side
2x+4y=4x=180
Subtract 2x from each side
4y=2x=180
y=180/4=45
x=180/2=90

Answer 2

Both form straight angles, which are 180 degrees.

x+4y+x+y=180
2x+5y=180

4x+y=180

Solve the second equation for y and substitute the variable.
y= -4x+180

2x+5(-4x+180)=180
2x-20x+900=180
-18x= -720
x=40

Plug the x value in
4(40)+y= 180
160+y=180
y=20

Final answer: x=40, y=20