Answer:
D 110
Step-by-step explanation:
Vertical angles are equal
50 = x+2y
Adjacent angles equal 180 degrees when they make a straight line
50+x-2y = 180
subtract 50 from each side
50-50+x-2y = 180-50
x-2y = 130
Flipping sides on the first equation
x+2y = 50
Adding the two equations together
x-2y = 130
x+2y = 50
-------------------
2x = 180
Divide by 2
2x/2 = 180/2
x = 90
Now we need to find y
x+2y = 50
90 +2y = 50
Subtract 90 from each side
90-90+2y = 50-90
2y = -40
Divide by 2
2y/2 = -40/2
y = -20
We want the difference between x and y
x-y
90-(-20)
90+20
110
