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Parallel Lines

In the given ...

Question

In the given figure, find x. Further find ∠BOC, ∠COD and∠AOD

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Solution

In the given figure:

AB is a straight line. Thus,, and form a linear pair.

Therefore their sum must be equal to.

We can say that

(i)

It is given that, and.

On substituting these values in (i), we get:

It is given that:

Therefore,

Also,

Therefore,

Therefore,

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In the figure, find x, further find $∠ B O C, ∠ C O D$ and $∠ A O D$ .

Q. In Fig. 25, find ∠x. Further find ∠BOC, ∠COD and ∠AOD.

In the given figure, chords $A B = C D, ∠ C O D = 60^{\circ}$ , and $∠ A O D = 170^{\circ}$ .

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