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Basic Proportionality Theorem

In given figu...

Question

In given figure $D E ∥ B C$ , find value of $x .$

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Solution

The correct option is C $4$
By basic proportionality theorem,
$D E ∥ B C$ ...Given
$\Rightarrow \frac{A D}{D B} = \frac{A E}{E C} \Rightarrow \frac{x}{x - 2} = \frac{x + 2}{x - 1}$

$\Rightarrow x = 4$

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