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Question

In the given figure, O is the centre of circle and BOD=150o. Find the value of x and y.
1715715_989efb772d9d4595b02381800fefbcf2.png

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Solution

It is given that O is the centre of a circle and BOD=150o

We know that

Reflex BOD=(360oBOD)

By substituting the values

Reflex BOD=(360o150o)

By subtraction

Reflex BOD=210o

Consider x=1/2 ( reflex BOD)

By substituting the value

x=210/2

So we get

x=105o

We know that

x+y=180o

By substituting the values

105o+y=180o

On further calculation

y=180o105o

By subtraction

y=75o

Therefore, the value of x is 105o and y is 75o.

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