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2 marksGeometric Problem Solving (Circles and Circle Theorems)

CSEC Mathematics · January 2015 · Paper 2 · Question 10(b)(iii)

The diagram below, not drawn to scale, shows a circle with centre O. HJ and HG are tangents to the circle and ∠JHG = 48°.

Calculate, giving the reason for each step of your answer, the measure of: ∠JKG

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Other parts of this question

  1. 10(a)(i)Calculate, correct to 1 decimal place, the length QS.[2 marks]
  2. 10(a)(ii)Calculate, correct to 1 decimal place, the measure of ∠QTS.[2 marks]
  3. 10(a)(iii)Calculate, correct to 1 decimal place, the area of triangle QRS.[2 marks]
  4. 10(a)(iv)Calculate, correct to 1 decimal place, the perpendicular distance from Q to RS.[1 mark]
  5. 10(b)(i)Calculate, giving the reason for each step of your answer, the measure of: ∠OJH[2 marks]
  6. 10(b)(ii)Calculate, giving the reason for each step of your answer, the measure of: ∠JOG[2 marks]
  7. 10(b)(iv)Calculate, giving the reason for each step of your answer, the measure of: ∠JLG[2 marks]

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