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2 marksGeometric Problem Solving (Circles and Circle Theorems)

CSEC Mathematics · January 2006 · Paper 2 · Question 11(a)(ii)

In the diagram, not drawn to scale, O is the centre of the circle, ∠AOB = 130°, ∠DAE = 30°, and AEC and BED are chords of the circle.

Calculate the size of EACH of the following angles, giving reasons for EACH step of your answers: ∠CBD.

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Other parts of this question

  1. 11(a)(i)Calculate the size of EACH of the following angles, giving reasons for EACH step of your answers: ∠ACB.[2 marks]
  2. 11(a)(iii)Calculate the size of EACH of the following angles, giving reasons for EACH step of your answers: ∠AED.[2 marks]
  3. 11(b)Show that ΔBCE and ΔADE are similar.[3 marks]
  4. 11(c)(i)Calculate the length of EB.[3 marks]
  5. 11(c)(ii)Calculate correct to 1 decimal place the area of ΔAED.[3 marks]

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