Math, asked by mona3278, 11 months ago

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

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Answers

Answered by SunilVishwakarama
8

I hope that you will understand it

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Answered by nikitasingh79
8

To find :  ∠BOC, ∠COD and ∠AOD.

 

 From figure, it is that Given: ∠AOD = (x + 10)° , ∠COD = x° and ∠BOC = (x + 20)°

∠AOD and ∠BOD form a linear pair angles :  

Therefore, ∠AOD + ∠BOD = 180°

Also, ∠AOD + ∠BOC + ∠COD = 180°

( x + 10 ) + x + ( x + 20 ) = 180

3x + 30° = 180°

3x = 180° – 30°

3x = 150°

x = 150°/3

x = 50°

Now,

∠AOD = (x + 10) = 50 + 10 = 60°

∠COD = x = 50°

∠BOC = (x + 20) = 50° + 20° = 70°

Hence, ∠AOD = 60° , ∠COD = 50°  and ∠BOC = 70°.

HOPE THIS ANSWER WILL HELP YOU…..

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