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4 marksGeometric Problem Solving (Lines, Angles, Polygons)

CSEC Mathematics · January 2012 · Paper 2 · Question 5(a)(ii)

The diagram below, not drawn to scale, shows TWO triangles, JKL and MLP, with JK parallel to ML. LM = MP, KLP is a straight line, angle JLM = 22° and angle LMP = 36°.

Calculate, giving reasons for your answers, the measure of ∠ LJK.

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Other parts of this question

  1. 5(a)(i)Calculate, giving reasons for your answers, the measure of ∠ MLP.[4 marks]
  2. 5(a)(iii)Calculate, giving reasons for your answers, the measure of ∠ JKL.[4 marks]
  3. 5(a)(iv)Calculate, giving reasons for your answers, the measure of ∠ KLJ.[4 marks]
  4. 5(b)(i)State the coordinates of P and Q.[2 marks]
  5. 5(b)(ii)Describe fully the transformation that maps triangle PQR onto triangle P'Q'R'.[2 marks]
  6. 5(b)(iii)Write down the coordinates of the images of P and Q under the translation (3, -6).[2 marks]

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