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

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MCQ

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

Options

  • 25°

  • 45°

  • 60°

  • 30°

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Solution

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°

  Is there an error in this question or solution?

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