Question

AB||DC find the value of x ​

Answer 1

Step-by-step explanation:

In the given figure,

AE/CE = BE/DE ( Properties of a trapezium )

So,

7x-9/2x-1 = 9x-8/3x

By Cross Multiplication,

(7x-9)(3x) = (9x-8)(2x-1)

21x2 - 27x = 18x2 - 9x-16x + 8

21x2 - 27x = 18x2 -25x +8

3x2-2x-8 = 0

By Factorisation,

x = 2 , -4/3

Hope you understood.

Thanks