In Fig. 8.33, find x . Further find ∠ BOC, ∠ COD and ∠ AOD.

Question

In Fig. 8.33, find x . Further find &#x2220; BOC, &#x2220; COD and &#x2220; AOD.

Philoid · Accepted Answer

∠AOD + ∠BOD = 180^o (Linear pair)

∠AOD + ∠COD + ∠BOC = 180^o (Linear pair)

Given that,

∠AOD = (x + 10)

∠COD = x

∠BOC = (x + 20)

(x + 10) + x + (x + 20) = 180⁰

3x = 150^o

x = 50^o

Therefore,

∠AOD = 60^o

∠COD = 50^o

∠BOC = 70^o