Answer:

x=28°, y=112° and z=28°.

Step-by-step explanation:

In a parallelogram, opposite angles are equal.

So, y=112°

x+y+40°=180° (Angle sum property in a triangle)

⇒x+112+40=180

⇒x=180-152=28°

Diagonal of the parallelogram acts as a transversal between the two parallel sides.

So, x and z are alternate interior angles.

In other words,

x=z

⇒z=28°

So, x=28°, y=112° and z=28°.

Hope it helps!

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