0580/11 May/Jun 2023, Question 12: Angles at a Point and on a Line
Cambridge IGCSE Mathematics 0580 · Paper 11 (Core) · Calculator · 3 marks
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The question, in short
Use two diagrams of angles to state geometric reasons: explain why x is 52 for parallel lines cut by a transversal, and find y from angles around a point.
Summarised in our own words. Use the official paper for the exact wording and the diagram.
Part (a) · 1 mark
Give the geometrical reason that the angle marked x equals 52° at the lower intersection of the parallel lines.
- 1x and 52° are alternate angles between parallel lines, so they are equal
- 2Reason: alternate angles
AnswerAlternate angles
Part (b) · 2 marks
Calculate the value of y from the angles 38°, 126° and y° around a point, and state the geometrical reason.
- 1Angles at a point sum to 360°
- 2y = 360 − 38 − 126 = 196
- 3y = 196, because angles at a point sum to 360
Answer196, angles at a point sum to 360
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Also searched as: 0580/11/M/J/23 · 0580_s23_qp_11 · 0580 s23 11 · question 12.
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