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In a quadrilateral ABCD ,CO and …

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In a quadrilateral ABCD ,CO and DO are the bisectors of angle C and angle D respectively. Prove that angle COD= 1\2 (angle A+angle B).

Posted by Trushti Parmar 4 years, 1 month ago

CBSE > Class 09 > Mathematics

1 answers

Gaurav Seth 3 years, 11 months ago

Angle COD= 1800- 1/2angle C-1/2 angle D=1800-1/2(angle C+D)----------(1)

Angle (A+B+C+D)=3600

AngleC+D= 3600 - AngleA- angle B--------------(2)

Substituting (2) in (1)

Angle COD= 1800-1/2(3600- angle A- Angle B)

Angle COD= 1800-1800+1/2 Angle A + 1/2 Angle B= 1/2(Angle A+ Angle B)

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CBSE > Class 09 > Mathematics