Find the values of the variables xy, and z in the parallelogram. the diagram is not drawn to scale

Therefore x = 33° , y = 40° and z = 109°.

Step-by-step explanation:

i) from properties of parallel lines a pair of alternate interior angles are equal

  Therefore x = 33°

ii) from properties of parallelogram that a pair of opposite angles are equal, Therefore z = 109°.

iii) from the law of triangle that the sum of all angles in a triangle is 180° and also using the property of parallel lines that a pair of alternate interior angles is equal we can say that x° + y° + z° = 180°                                           ⇒ 31° + y° + 109° = 180°, therefore   y° =  180° - 140° = 40°.

Therefore x = 33° , y = 40° and z = 109°.

answer: b.

step-by-step explanation:

the y coordinate for point b is 0, and answer b is the only one with that y coordinate.