Answer: x = 81 degrees, y = 68 degrees, z = 99 degrees
Step by step:
Use fact that angles sum up to 180 degrees in any triangle.
Left triangle:
180=36+63+x
x = 180-99 = 81 degrees
Use the fact that x and z are supplementary angles:
180 = x + z = 81 + z
z = 180 - 81 = 99 degrees
And again using triangle angle sum of 180 degree:
180 = 13 + z + y = 13 + 99 + y
y = 180 -112 = 68 degrees