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1 markGeometric Problem Solving (Circles and Circle Theorems)

CSEC Mathematics · May/June 2007 · Paper 2 · Question 12(b)d)

In a diagram, LM is a tangent to a circle at point T. O is the centre of the circle and angle MTS = 23°.

Calculate the size of angle SRQ, giving reasons for your answer.

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Other parts of this question

  1. 12(a)(i)Calculate the size of angle YXZ.[6 marks]
  2. 12(a)(ii)Calculate the area of the triangle YXZ, expressing your answer correct to one decimal place.[1 mark]
  3. 12(a)(iii)Calculate the area of the octagon.[1 mark]
  4. 12(b)a)Calculate the size of angle TPQ, giving reasons for your answer.[9 marks]
  5. 12(b)b)Calculate the size of angle MTQ, giving reasons for your answer.[1 mark]
  6. 12(b)c)Calculate the size of angle TQS, giving reasons for your answer.[1 mark]

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