Multiple choice

In the given figure, DE || BC. If AD = x, DB = x - 2, AE = x+ 2 and EC = x - 1, find the value of x.

  1. 2

  2. -2

  3. 4

  4. -4
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Since DE || BC,     AE/ EC  =    AD/ DB$\Rightarrow$                x + 2 / x - 1  =     x / x - 2$\Rightarrow$               x2 - 4     =    x (x - 1)                                                   $\Rightarrow$              x2 - 4     =     x2 - x $\Rightarrow$ x  =  4.

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