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In the given figure, O is the centre of circle and BOD =150^o

Question

In the given figure, $O$ is the centre of circle and $∠ BO D = 15 0^{o}$ . Find the value of $x$ and $y$ .

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In the given figure,

O

is the centre of circle and

∠ BO D = 15 0^{o}

. Find the value of

x

and

y

15 mins ago

Discuss this question LIVE

15 mins ago

Text solutionVerified

It is given that

O

is the centre of a circle and

∠ BO D = 15 0^{o}

We know that

Reflex

∠ BO D = (36 0^{o} - ∠ BO D)

By substituting the values

Reflex

∠ BO D = (36 0^{o} - 15 0^{o})

By subtraction

Reflex

∠ BO D = 21 0^{o}

Consider

x = 1/2

( reflex

∠ BO D

)

By substituting the value

x = 210/2

So we get

x = 10 5^{o}

We know that

x + y = 18 0^{o}

By substituting the values

10 5^{o} + y = 18 0^{o}

On further calculation

y = 18 0^{o} - 10 5^{o}

By subtraction

y = 7 5^{o}

Therefore, the value of

x

10 5^{o}

and

y

7 5^{o}

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Question Text	In the given figure, $O$ is the centre of circle and $∠ BO D = 15 0^{o}$ . Find the value of $x$ and $y$ .
Answer Type	Text solution:1
Upvotes	150

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

Text solutionVerified

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In the given figure, $O$ is the centre of circle and $∠ BO D = 15 0^{o}$ . Find the value of $x$ and $y$ .