Q 4.In the given polygon, BO = 7x + 4 and
OD = 18 Find x. /ft3 HJSH ËJ BO = 7x + 4
HD OD = 18 7 x मॅप्ल या व। / दिए गए
बहुभुज में, BO = 7x + 4 और OD = 18 हो तो x
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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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