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2 marksGeometric Problem Solving (Circles and Circle Theorems)

CSEC Mathematics · May/June 2012 · Paper 2 · Question 10(b)(i)a)

The diagram shows a circle, centre O. The line UVW is a tangent to the circle, ZOXW is a straight line and angle UOX = 70°.

Calculate, showing working where necessary, the measure of angle OUZ.

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Other parts of this question

  1. 10(a)(i)Calculate the length of RS.[3 marks]
  2. 10(a)(ii)Calculate the measure of ∠QTS.[3 marks]
  3. 10(b)(i)b)Calculate, showing working where necessary, the measure of angle UVY.[3 marks]
  4. 10(b)(i)c)Calculate, showing working where necessary, the measure of angle UWO.[2 marks]
  5. 10(b)(ii)a)Name the triangle in the diagram which is congruent to triangle ZOU.[1 mark]
  6. 10(b)(ii)b)Name the triangle in the diagram which is congruent to triangle YXU.[1 mark]

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