Fine the value of the variables in the parallelogram.

Option D:

x = 33, y = 30, z = 117

Solution:

Given image is a parallelogram.

In parallelogram opposite angles are congruent.

⇒ z° = 117°

⇒ z = 117

33° and x° are alternate interior angles.

If two parallel lines are cut by a transversal, then alternate interior angles are congruent.

⇒ x° = 33°

⇒ x = 33

Sum of the interior angles of a triangle is 180°.

⇒ 33° + 117° + y° = 180°

⇒ 150° + y° = 180°

Subtract 150 from both sides of the equation.

⇒ y° = 30°

⇒ y = 30

Hence x = 33, y = 30, z = 117.

Option D is the correct answer.

the answer is 37

step-by-step explanation:

idk

step-by-step explanation:

i don't know