The values of x and y are:
x = 5
y = 104
Let's find x:
Rememeber that two vertical angles always have the same measure, so we can write:
(12x + 14) = 74
Now we want to solve that equation for x, so let's do that:
12x + 14 = 74
12x = 74 - 14
12x = 60
x = 60/12
x = 5
Now, two adjacent angles always add up to 180°, then we can write:
z + 74° = 180°
z = 180° - 74° = 106°