How much larger is the value of x than the value of y

a. 20
b. 70
c. 90
d. 110

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