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.
