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

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

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Best answer

(x + 10)° + x° + (x + 20)° = 180° [linear pair]

On rearranging we get

3x° + 30° = 180°

3x° = 180° – 30°

3x° = 150°

x° = 150°/3

x° = 50°

Also given that

∠BOC = (x + 20)°

= (50 + 20)°

= 70°

∠COD = 50°

∠AOD = (x + 10)°

= (50 + 10)°

= 60°

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