x is equal to 25 and y is equal to 100.
Since we can see that the 4x angle and the x + 20, along with the angle opposite of x + 10 (which would be congruent to that angle), make a straight line, we can assume that it is equal to 180. So set those numbers equal to 180 and solve.
4x + x + 10 + x + 20 = 180
6x + 30 = 180
6x = 150
x = 25
Then we can find the value of y by looking at the straight line created by the x + 10, x + 20 and y angles. Set those equal to 180.
x + 10 + x + 20 + y = 180
2x + 30 + y = 180
2(25) + 30 + y = 180
50 + 30 + y = 180
80 + y = 180
y = 100
