Question

10. In a quadrilateral, CO and DO are the bisectors of C and D respectively.
Prove that A + B = 2 COD.​

Answer 1

Step-by-step explanation:

angle A+B+C+D =360

1/2Angle D=ODC

1/2angleC=OCD

SO,CDO+OCD+COD=180 we have COD=180-OCD+CDO

NOW,1/2A+1/2B+1/2C+1/2D=1/2 360

1/2A+1/2B+OCD+ODC=180

1/2A+1/2B=180-OCD+CDO

1/2A+1/2B=COD

A+B=2 COD