As y and 74 degrees are alternate interior angles, they must be equal to each other.
Thus, y = 74 degrees.
So here, since z and y make up a straight line, and lines have angle measurements of 180 degrees, z + y = 180
And since we know y = 74,
74 + z = 180
z = 106
For x, since they are corresponding angles, they must equal each other, so x = 106 degrees.
So,
x = 106 degrees
y = 74 degrees
z = 106 degrees
