Question

Q7. In the given figure, DE || BC, then the value of x is equal to
1)6
2)4
3)5
4)3


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Answer 1

Answer:

As DE ll BC

So, (x + 2)/(x + 7) = x/2x. ( Thales theorem)

2x² + 4x = x² + 7x

2x² - x² = 7x - 4x

x² = 3x

x² - 3x = 0

x(x - 3) = 0

x = 0 or x - 3 = 0

x = 0 or x = 3

Therefore, answer is option (4) 3

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