Question

In trapezium DEFG DE II GF and diagonal DF and EG bisect each other at O, OD = 2x+4, OF= 4x-2 , OE=x+1 and OG=4cm, the value of x is

A) 1
B) 2
C) 3
D) None of these
​

Answer 1

Answer:

B is the answer

please give me some points

Answer 2

answer is c) 3

triDOE~triFOG

DO/FO = OE/OG

2x+4/x+1= 4x-2/4

2x²-3x-9

2x²-6x+3x-9

2x(x-3)+3(x-3)

(x-3)(2x+3)

• x = -3/2 is rejected

hence answer is 3