CAT 2000 Question 152

Question 152

In the figure AB=BC=CD=DE=EF=FG=GA, then $$\angle{DAE}$$ is approximately


Let angle EAD be x.

So according to given conditions we get , ACB = x.

As an external angle CBD = 2x.

Also we know that total angle on an line is 180 we get EFD = 3x because of which EDF = 3x.

Similarly on opposite side we get AED = 3x.

So in total x+3x+3x = 180.

We get x = 25 (approx).

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