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6 marksGeometric Problem Solving (Lines, Angles, Polygons)

CSEC Mathematics · January 2008 · Paper 2 · Question 3(b)(i)

A quadrilateral ABCD has AB = AD, ∠BCD = 90°, ∠DBC = 42°, and AB is parallel to DC. The diagram is not to scale.

Calculate, giving reasons for your answers, the size of angle ABC.

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Other parts of this question

  1. 3(a)(i)Draw a Venn diagram to represent this information.[3 marks]
  2. 3(a)(ii)a)List, using set notation, the members of the set S U T[1 mark]
  3. 3(a)(ii)b)List, using set notation, the members of the set S'[2 marks]
  4. 3(b)(ii)Calculate, giving reasons for your answers, the size of angle ABD.[6 marks]
  5. 3(b)(iii)Calculate, giving reasons for your answers, the size of angle BAD.[6 marks]

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