Class 9 Math All topics Circles

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

Solution:

It is given that $O$ is the centre of a circle and $∠BOD=150_{o}$

We know that

Reflex $∠BOD=(360_{o}−∠BOD)$

By substituting the values

Reflex $∠BOD=(360_{o}−150_{o})$

By subtraction

Reflex $∠BOD=210_{o}$

Consider $x=1/2$ ( reflex $∠BOD$)

By substituting the value

$x=210/2$

So we get

$x=105_{o}$

We know that

$x+y=180_{o}$

By substituting the values

$105_{o}+y=180_{o}$

On further calculation

$y=180_{o}−105_{o}$

By subtraction

$y=75_{o}$

Therefore, the value of $x$ is $105_{o}$ and $y$ is $75_{o}$.

Similar topics

introduction to trigonometry

functions

some applications of trigonometry

quadratic equations

surface areas and volumes

introduction to trigonometry

functions

some applications of trigonometry

quadratic equations

surface areas and volumes

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