Question

Q 4.In the given polygon, BO = 7x + 4 and
OD = 18 Find x. /f83 AJSH ËJ BO = 7x + 4
HD OD = 18 7 x ट मॅप्ल पठ वते । / दिए गए
बहुभुज में, BO = 7x + 4 और OD = 18 हो तो x
मान ज्ञात करें
*
B
C
D​

Answer 1

Question :- .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.