Practicing Success
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? |
45° 22.5° 90° 35° |
22.5° |
In quadrilateral AOBE ∠OAE = ∠OBE = 90° (tangents) 3x + x = 180° So, x = 45° ∠COD = \(\frac{x}{2}\) = \(\frac{45}{2}\) = 22.5° |