Determine the value of x, y, and z, in alphabetical order for each diagram. All reasons must be given.

$$y = 180^\circ - 50^\circ$$ $$y = 130^\circ$$

Statement: $z = y$
Reason: Vertically opposite angles are equal

$$z = 130^\circ$$

The values are $x = 50^\circ, y = 130^\circ, z = 130^\circ$.

$$\boxed{x = 50^\circ, y = 130^\circ, z = 130^\circ}$$

$$y = 180^\circ - 90^\circ - 38^\circ$$ $$y = 52^\circ$$

Statement: $x = y$
Reason: Alternate interior angles (parallel lines)

$$x = 52^\circ$$

The values are $x = 52^\circ, y = 52^\circ$.

$$\boxed{x = 52^\circ, y = 52^\circ}$$

$$x = 70^\circ$$

Statement: $y + 70^\circ = 180^\circ$
Reason: Consecutive angles of a parallelogram are supplementary

$$y = 180^\circ - 70^\circ$$ $$y = 110^\circ$$

The values are $x = 70^\circ, y = 110^\circ$.

$$\boxed{x = 70^\circ, y = 110^\circ}$$