4024/11 Oct/Nov 2020, Question 11: Angles in Parallel Lines
Cambridge O Level Mathematics 4024 · Paper 11 (Non-calculator) · Non-calculator · 2 marks
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The question, in short
Parallel lines ABC and DEF with BE and CE drawn; angle ABE = 123° and angle CEF = 40°. Find angle DEB and angle BEC.
Summarised in our own words. Use the official paper for the exact wording and the diagram.
Part (a) · 1 mark
Calculate the size of angle DEB using the parallel lines and the 123° angle.
- 1ABC ∥ DEF, so angle ABE + angle DEB = 180° (co-interior angles)
- 2Angle DEB = 180 − 123 = 57°
Answer57
Part (b) · 1 mark
Calculate the size of angle BEC using the angles found or given.
- 1Angles on the straight line DEF add to 180°
- 2Angle BEC = 180 − 57 − 40 = 83°
Answer83
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Also searched as: 4024/11/O/N/20 · 4024_w20_qp_11 · 4024 w20 11 · question 11.
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