Question

In the given figure, O is the center of the circle and ∠ = 150°,

find ∠ ∠.​

Answer 1

Answer:

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

We know that 

Reflex ∠BOD=(360o−∠BOD)

By substituting the values

Reflex ∠BOD=(360o−150o)

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=180o−105o

By subtraction

y=75o

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