Need help with this question.Find the values of x,y, and z. The diagram is not to scale.

Small triangle needs to equal 180degrees.
so
180 = 63 + 36 + x
180 = 99 + x
subtract 99 from both sides to isolate x
81 = x

Now, x and z are supplementary angles.
Meaning that they add up to 180degrees

x + z = 180
81 + z = 180
subtract 81 from both sides to isolate z
z = 99

Now we can see there is a triangle formed with the top angle 13 degrees and z and y
they must all add up to 180.
180 = 13 + z + y
we know z = 99
180 = 13 + 99 + y
180 = 112 + y
68 = y

Hope this helps!