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2 marksGeometric Problem Solving (Lines, Angles, Polygons)

CSEC Mathematics · May/June 2006 · Paper 2 · Question 3(a)(iii)

In the quadrilateral KLMN, not drawn to scale, LM = LN = LK, ∠ KLM = 140°, and ∠ LKN = 40°.

Giving the reason for each step of your answer, calculate the size of ∠ KNM.

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Other parts of this question

  1. 3(a)(i)Giving the reason for each step of your answer, calculate the size of ∠ LNK[2 marks]
  2. 3(a)(ii)Giving the reason for each step of your answer, calculate the size of ∠ NLM[2 marks]
  3. 3(b)(i)Copy and complete the Venn diagram to represent the information.[1 mark]
  4. 3(b)(ii)Write an expression in x for the number of students in the survey.[1 mark]
  5. 3(b)(iii)Calculate the value of x.[5 marks]

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