Question

In the given figure: ∠BAC 80° . Find reflex ∠BOC(x)

Answer 1

Answer:

boc= 80*1'2=40so x= 40

Answer 2

The value of angle $\angle BOC(x)$ is $200\ degree.$

Explanation:

Given,

$\angle BAC=80\ degree$

Find $\angle BOC(x)=?$

We know,

The angle subtended by an arc of a circle at its center is twice of the angle it subtends anywhere on the circle's circumference.

So,

$\angle BOC=2\times \angle BAC$

⇒$\angle BOC=2\times 80$

⇒$\angle BOC=160\ degree$

Also,

Angle around a point equal to $360\ degree$

So,

$\angle BOC(x)+\angle BOC=360$

⇒$\angle BOC(x)=360-160$

∴$\angle BOC(x)=200\ degree$

Hence, The value of angle $\angle BOC(x)$ is $200\ degree.$