Question

In fig DE//BC, FIND X

Answer 1

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Answer 2

Since DE //BC
So, by Thales theorem, we have
AD/DB=AE/EC

x/x+1 =x+3/ x+5

x( x+5) = (x+1) (x+3)

x^2 + 5x = x^2 + 3x + x +3

5x - 3x- x = 3

x = 3

So, the value of x is 3.