In a quadrilateral ABCD, CO and DO are the bisectors of ∠C and ∠D respectively. Prove that ∠COD = 1/2 (∠A + ∠B).
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In ∆COD
<COD + <1 + <2 = 180°
<COD = 180° - (<1 +<2)
<COD = 180° - 1/2(<C+<D)
<COD = 180°- 1/2 [360° -(<A+<B)]
<COD = 1/2 (<A+<B)
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