Question

In the given figure, AB is the diameter of the circle. Find the value of ∠ACD.

Options

• 25°

• 45°

• 60°

• 30°

Answer 1

45°

Explanation:

OB = OD (radius)

∠ODB = ∠OBD

∠ODB + ∠OBD + ∠BOD = 180°

2∠ODB + 90° = 180°

∠ODB = 45°

∠OBD = ∠ACD (Angle subtended by the common chord AD)

Therefore ∠ACD = 45°