Question

In the given figure, O is the centre of a circle and ∠BOD =150°. Find the values of x and y.

Answer 1

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 = ½ (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.