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Question

Question 172
ABCD is a parallelogram. Find the values of x, y and z.

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Solution

Given, a parallelogram ABCD
In the ΔOBC, we have
y+30=100 [exterior angle property of triangle]
y=70
By the angle sum property of a triangle,
we have, x+y+30=180
x+70+30=180x=180100=80
Now, since ADBC and BD is transversal, therefore
ADO=OBC [alternate interior angles]
z=30

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