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3 marksGeometric Problem Solving (Circles and Circle Theorems)

CSEC Mathematics · May/June 2011 · Paper 2 · Question 10(a)(iii)

Diagram shows points W, X, Y, Z on circumference of circle, centre O. TYV is tangent at Y. ∠XWZ = 64°, ∠ZYV = 23°.

Calculate, giving reasons for your answer, the measure of angle OXZ.

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Other parts of this question

  1. 10(a)(i)Calculate, giving reasons for your answer, the measure of angle XYZ.[2 marks]
  2. 10(a)(ii)Calculate, giving reasons for your answer, the measure of angle YXZ.[2 marks]
  3. 10(b)(i)Calculate the value of x, as shown in the diagram.[2 marks]
  4. 10(b)(ii)Calculate the distance RP.[3 marks]
  5. 10(b)(iii)Determine the bearing of R from P.[3 marks]

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