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4 marksGeometric Problem Solving (Lines, Angles, Polygons)

CSEC Mathematics · May/June 2005 · Paper 2 · Question 6(a)(i)

ABCDE is a pentagon. ∠BAE = 108°, ∠ABC = 90°, ∠AED = 80°, ∠ADC = 57° and AE is parallel to CD.

Calculate the size of the angle marked x°. Show all steps in your calculations and give reasons for your answers.

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Other parts of this question

  1. 6(a)(ii)Calculate the size of the angle marked y°. Show all steps in your calculations and give reasons for your answers.[1 mark]
  2. 6(b)(i)Evaluate g(3) + g(-3)[8 marks]
  3. 6(b)(ii)Evaluate f⁻¹(6)[1 mark]
  4. 6(b)(iii)Evaluate fg(2)[1 mark]

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