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Question

The sides BA and DC of the parallelogram ABCD are produced as shown in figure. Then

  1. a=x+y
  2. a=b=(x+y)
  3. y=ab
  4. a+b=x+y


Solution

The correct option is D a+b=x+y
In the given figure, AB || DC

a=x(1) [Alternate Interior Angles]
And b=y(2) [Alternate Interior Angles]
Adding (1) and (2), we get
a+b=x+y

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