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Question

In the given figure, DEAC. Find the value of x.
1365546_24859567cb614d7eacd22db4f69de66f.png

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Solution

In ABC,

DEAC

Therefore,
BDDA=BEEC

2x+103x=x+72x

2x(2x+10)=3x(x+7)

4x2+20x=3x2+21x

x2x=0

x(x1)=0

x1=0

x=1

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