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Question

In the given figure, OB and OC are the bisectors of ∠AOD and ∠BOD respectively and ∠BOA = 30°. Then find the measure of ∠DOC.

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Solution

Given: ∠BOA = 30°
∴ ∠BOD = 30° (∵ OB bisects ∠AOD)
Also, OC bisects ∠BOD.
BOC=DOC=BOD2
BOC=DOC=302=15
∴ ∠DOC = 15°

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