In the following figure (not to scale), at the centre O, if the chord AB students double the angle that is subtended by chord CD and the angle ∠AEB = 2∠AOB, then ∠COD is equal to:

In the following figure (not to scale), at the centre O, if the chord AB students double the angle that is subtended by chord CD and the angle ∠AEB = 2∠AOB, then ∠COD is equal to:

Answer: Option A

Solution

Answer: Option A

Solution:

$$\begin{array}{rl}& 4x+2x=180^{\circ }\\ & 6x=180^{\circ }\\ & \angle COD=x=\frac{{180}^{\circ }}{6}=30^{\circ }\end{array}$$