In quadrilateral ABCD, the bisector of angleC &angleD intersect at O. Prove that angleCOD=1/2(angleA+angleB)
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Given that
in a quadrilateral ABCD,the bisector of angle C and angleD intersect at O
angleA=angleC (hence opposite angles of a quadrilateral are equal)
angleB=angleD (opposite angles are equal)
therefore angleCOD=1/2(angleC+D)
we know that angleA=angleC and angleB=angleD
therefore angleCOD=1/2of(angleA+angleB) hence proved
in a quadrilateral ABCD,the bisector of angle C and angleD intersect at O
angleA=angleC (hence opposite angles of a quadrilateral are equal)
angleB=angleD (opposite angles are equal)
therefore angleCOD=1/2(angleC+D)
we know that angleA=angleC and angleB=angleD
therefore angleCOD=1/2of(angleA+angleB) hence proved
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