Question

consider the following parallelograms find the value of x y z in each
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Answer 1

Answer:

Let the fourth Angle be W.

Angle W+120degree=180degree.(By Straight line Axiom)

Angle W=(180-120)degree.

Angle W=60degree.

Angle W=Angle X=60degree. (Opposite angels are congruent).

Angle X+ Angle Y=180degree.(Consecutive angles are supplementary)

60degree+Angle Y=180degree.

Angle Y=(180-60)degree.

Angle Y=120degree.

Angle Y=Angle Z=120degree. (Opposite angels are congruent).