Two angles, x and y, lie on a straight line. If x = 120°, find y.
Launching your learning experience…
Exam Season Offer 🎯 Sign up today & get 15% OFF on Yearly Plan
Practise IGCSE 0580 questions in the style of recent Extended past papers, organised by syllabus subtopic. Each set comes with an examiner-style mark scheme and a downloadable worksheet.
Everything students ask about Cambridge IGCSE 0580 Angles Topical Past Papers.
Top questions students ask on this sub-topic
These Angles Topical Past Paper Questions are written in the style of recent Cambridge IGCSE Mathematics 0580 Extended papers and grouped by the Geometry (E4.6) section of the 2025–2027 syllabus. Use them to revise the exact skills examiners test in this part of the course.
Each question is graded Easy → Medium → Hard, plus an A★ Challenge for top-grade preparation. Tap a question to mark your own answer, then unlock the examiner-style mark scheme with model solutions and examiner tips. A printable Topical Past Papers worksheet is included so you can practise offline.
Calculate unknown angles using angle facts on straight lines, around a point, in triangles and quadrilaterals, on parallel lines (alternate, corresponding, co-interior) and in regular and irregular polygons.
Two angles, x and y, lie on a straight line. If x = 120°, find y.
A triangle has two angles of 50° and 70°. Find the size of the third angle.
[1 mark]Two parallel lines are crossed by a transversal. One of the angles formed is 65°. State the size of the alternate angle and give the geometrical reason.
[2 marks]Find the size of each exterior angle of a regular hexagon.
[2 marks]What is the sum of the interior angles of a pentagon?
In a triangle ABC, angle A = 2x°, angle B = 3x° and angle C = 4x°.
Find the value of x.
[2 marks]Hence find the size of the largest angle in the triangle.
[1 mark]Find the size of each interior angle of a regular nonagon (9 sides).
[2 marks]A regular polygon has an interior angle of 150°. Find the number of sides of the polygon.
[2 marks]