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Solution


Q.

In Fig, in trapezium ABCD if AB ∥ CD, then the value of x is
1 29/8   
2 8/29   
3 20   
4 1/20   

Ans.

(3)

Since ABCD is a trapezium with AB ? CD and diagonals intersect at O

AO/OC = OB/OD ⇒ 2/5 = (x - 2)/(2x + 5)

=  2(2x + 5) = 5(x - 2)

= 4x + 10 = 5x - 10 ⇒ x = 20

Option (c) is correct.