Question

If ab is parallel to cd then the value of x is

Answer 1

87°

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Answer 2

Step-by-step explanation:

in AOB and DOC

<BAO = DCO ( ALternate)

<ABO = <CDO( alternate)

So AA

AOB ~ COD

AO/OC = OB/OD

4/(4X-2) = x+1)/(2x+4)

8x + 16 = 4x^2 + 4x - 2x- 2

4x^2 - 6x -18 = 0

2x^2 - 3x -9 = 0

2x^2 -6x +3x-9=0

2x( x-3) +3( x-3) = 0

(2x+3)( x-3)= 0

x= -3/2, 3

neglect -3/2

So x= 3

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