Question

In the given figure angle BOD=54°. find the measures of the angle angle BOC and COA​

Answer 1

Given:-

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∠BOD = 54°

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To Find:-

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the measure of the angles ∠BOC , ∠COA and ∠AOD.

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STEP BY STEP EXPLANATION:-

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As ∠BOD and ∠BOC from a straight Line:

∠BOD + ∠BOC = 180°

54° + ∠BOC = 180°

∠BOC = 180° - 54°

∠BOC = 126°

As ∠BOD and ∠COA are vertically opposite angle:

∠COA = ∠BOD \longrightarrow⟶ ∠COA = 54°

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As ∠AOD and ∠BOC are vertically opposite angle:

∠AOD = ∠BOC \longrightarrow⟶ ∠AOD = 126°

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∴ Hence, ∠BOC = 126° , ∠COA = 54° and ∠AOD = 126°