0580/21 May/Jun 2024, Question 6: Quadrilateral Properties
Cambridge IGCSE Mathematics 0580 · Paper 21 (Extended) · Calculator · 3 marks
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The question, in short
Five identical kites meet edge to edge around point C, with angle DAB = 40° and D, C, E collinear; work out the marked angle x.
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Solution · 3 marks
- 1Six angles at C, one from each kite, make the straight line DCE
- 2Angle BCD = 180 ÷ 6 = 30°
- 3Kite angles add to 360° and the two side angles are equal
- 4x = (360 − 40 − 30) ÷ 2 = 145
Answer145
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