Q 16 Ray OC bisects ∠AOB Prove that ∠COD=12∠BOD-∠AOD - Maths - Lines and Angles

Question

Q 16 Ray OC bisects ∠ A O B Prove that ∠ C O D = 1 2
∠ B O D - ∠ A O D

Anuradha Sharma · Accepted Answer

Hi, OC bisects angle AOB so angle BOC = angle AOCangle BOD - angle COD = angle COD+angle AOD 2angle COD = angle BOD - angle AOD so angle COD = 12angle BOD - angle AOD

Q.16. Ray OC bisects ∠ A O B . Prove that ∠ C O D = 1 2 ∠ B O D - ∠ A O D .

Q.16. Ray OC bisects $∠ A O B$ . Prove that $∠ C O D = \frac{1}{2} (∠ B O D - ∠ A O D)$ .