Question

in fig DE l l BC, find x ​

Answer 1

Answer:

x = 9

Step-by-step explanation:

AD = AB - BD      ;          AE = AC - EC

AD = 2x - x + 3               AE = 2x + 3 - x + 2

AD = x + 3                       AE = x + 5

As, DE l l BC

AD/BD = AE/AC

x + 3/x - 3 = x + 5/x - 2

(x + 3)(x - 2) = (x + 5)(x - 3)

x² - 2x + 3x -6 = x²- 3x + 5x - 15

x - 6 = 2x - 15

x = 9