The values of x and y are 21 and 4 respectively.
To solve for x :
(6x - 32) + (4x + 2) = 180 (same side interior angles
6x + 4x -32 + 2 = 180
10x - 30 = 180
10x = 180 + 30
10x = 210
x = 21
Hence, x is 21
To solve for y :
10y + 4 = 11y (opposite angles)
10y - 11y = - 4
-y = - 4
y = 4
Hence, y = 4