In the following figure, if the chord AB subtends double the angle that is subtended by chord CD at the center O and the angle ∠AEB = 3∠AOB, then ∠COD is equal to?
Answer & explanation
Correct answer: option 2
In quadrilateral AOBE
∠OAE = ∠OBE = 90° (tangents)
3x + x = 180°
So, x = 45°
∠COD = \(\frac{x}{2}\) = \(\frac{45}{2}\) = 22.5°