Ex 10.5, 1 - In figure, A, B and C are three points on - Ex 10.5

  1. Chapter 10 Class 9 Circles
  2. Serial order wise
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Ex 10.5, 1 In the given figure, A, B and C are three points on a circle with centre O such that ∠BOC = 30° and ∠AOB = 60°. If D is a point on the circle other than the arc ABC, find ∠ADC. ∠ AOC = ∠AOB + ∠BOC = 60° + 30° = 90° Arc ABC subtends ∠ AOC at centre of circle. And ∠ ADC on point D ∴ ∠ AOC = 2 ∠ ADC 90° = 2 ∠ ADC 2 ∠ ADC = 90° ∠ ADC = 1/2 × 90° ∠ ADC = 45°

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