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0580/21 Oct/Nov 2024, Question 6: Multi-Step Angle Reasoning

Cambridge IGCSE Mathematics 0580 · Paper 21 (Extended) · Calculator · 3 marks

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The question, in short

Using the diagram with right-angled triangle ABC and quadrilateral AEDC, find the values of x, y and z from the given angles.

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

Part (a) · 1 mark

Find x, the angle DEB, using the angles on the straight line at E.

  1. 1Angles on the straight line AEB: x = 180 − 122 = 58

Answer58

Part (b) · 1 mark

Find y, the angle ACD, using the triangle ABC and the angles at C.

  1. 1Angle ACB = 180 − 90 − 34 = 56°
  2. 2y = 56 − 17 = 39

Answer39

Part (c) · 1 mark

Find z, the reflex angle CDE, using the quadrilateral AEDC.

  1. 1Angle CDE inside AEDC = 360 − 90 − 122 − 39 = 109°
  2. 2z = 360 − 109 = 251

Answer251

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Also searched as: 0580/21/O/N/24 · 0580_w24_qp_21 · 0580 w24 21 · question 6.
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