Question

In the given polygon, BO = 7x + 4 and OD = 18 Find x.

Answer 1

In the given polygon, BO = 7x + 4 and OD = 18 Find x.

7x+4=18

7x=18-4

7x=14

x=14/7

x=2

Answer 2

Given : BO = 7x + 4 and OD = 18  

To Find : x

Solution:

As shown , ABCD is a parallelogram

Diagonal AC & BD intersect at O

Diagonal of parallelogram bisect each other

=> BO = OD

BO = 7x + 4

OD = 18

Substituting these

7x + 4 = 18

Subtracting 4 from both sides

=> 7x + 4 - 4 = 18 - 4

=> 7x = 14

Dividing both sides by 7

=> x = 2

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