Angles

About this lab: Angles

Interactive simulation for Cambridge IGCSE Mathematics 0580 angles: measure acute, obtuse and reflex angles with a protractor and three-letter notation, drag lines to see angles on a straight line, at a point and vertically opposite, find corresponding, alternate and co-interior angles on parallel lines, tear the corners off a triangle to see they make 180 degrees, name triangles and quadrilaterals as you drag them, walk round regular and irregular polygons, and practise finding angles with the reasons to write.

IGCSE Mathematics 0580, topics 4.1 and 4.6. Types of angle and measuring, angles at a point, on a line and vertically opposite, parallel lines, triangles and quadrilaterals, polygons, and finding angles with reasons.

Angles is a free, browser-based simulation for Cambridge IGCSE Mathematics 0580 (topic 4 Geometry, sections 4.1 Geometrical terms, 4.6 Angles). The course is assessed in Paper 1 (Core non-calculator), Paper 2 (Extended non-calculator), Paper 3 (Core calculator), Paper 4 (Extended calculator). Syllabus for examination in 2025-2027. There are 6 tabs, each a self-contained experiment with its own controls and live readings, and nothing to install: it runs on a laptop, tablet or classroom projector.

Syllabus coverage

• 4.1 Geometrical terms. Lessons: Geometrical terms: shapes, solids and nets.
• 4.6 Angles. Lessons: Angles: lines, parallel lines and triangles, Angles in polygons.

Full syllabus map: IGCSE Mathematics 0580 topic 4.

How to use this simulation

1. 1. Measuring angles.
2. 2. Angle facts.
3. 3. Parallel lines.
4. 4. Triangles and quadrilaterals.
5. 5. Polygons.
6. 6. Find the angle.
7. The buttons at the end of the tab strip give the scene the whole window (Full screen, Hide controls) and, on a dark stage, a projector-friendly palette (Light scene). Many scenes also have drag handles: drag them to change the set-up directly.

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