Question

In the given figure, ABCD is a parallelogram. Find the values of x, y and z
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Answer 1

Answer:

z=30°

x = 180°

Y = 70°

Step-by-step explanation:

From the figure 

AD∥BC,BD is the transversal line 

⟹∠ADB=∠DBC     (∵alternate angles)

⟹z=30∘

Also

100∘,x are supplementary angles 

So x=180∘−100∘=80∘

x,y,30∘ forms a triangle 

⟹x+y+30∘=180∘

⟹y=180∘−80∘−30∘=70