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0580/21 May/Jun 2023, Question 1: Angles in a Quadrilateral

Cambridge IGCSE Mathematics 0580 · Paper 21 (Extended) · Calculator · 2 marks

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The question, in short

Quadrilateral ABCD has angles ABC = 104°, BAD = 71° and BCD = 56°; CD is extended to E along a straight line. Find angle ADE.

Summarised in our own words. Use the official paper for the exact wording and the diagram.

Solution · 2 marks

  1. 1Angle ADC = 360 − (56 + 104 + 71) = 360 − 231 = 129° (angles in a quadrilateral)
  2. 2Angle ADE = 180 − 129 = 51° (angles on a straight line)

Answer51

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Also searched as: 0580/21/M/J/23 · 0580_s23_qp_21 · 0580 s23 21 · question 1.
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