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Q 4.In the given polygon, BO = 7x + 4 andOD = 18 Find x. /ft3 HJSH ËJ BO = 7x + 4HD OD = 18 7 x मॅप्ल या व। / दिए गएबहुभुज में, BO = 7x + 4 और OD = 18 हो तो xमान ज्ञात करें*BCAD090203603​

Answer»

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

Solution :-

As from image we can see that, we have given

→ BC is parallel to AD .

→ AB is parallel to DC.

So, Polygon ABCD is a parallelogram.

Now, Diagonals BD and CA of parallelogram are intersecting at O.

As we know :-

  • The diagonals of a parallelogram bisect each other.

Therefore,

  • BO = OD
  • AO = OC.

Than,

→ BO = OD

→ 7x + 4 = 18

→ 7x = 18 - 4

→ 7x = 14

Dividing both sides by 7,

→ x = 2. (ANS.)

Hence, value of x will be 2.



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