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Angles and Polygons
In this feature we invite you to explore polygons and their angles. There are some interesting results to discover and prove, so get your ruler, pencil, protractor and compass at the ready!
An Equilateral Triangular Problem Stage: 3 Challenge Level: 
Take an equilateral triangle and cut it into smaller pieces. What can you do with them?
Polygon Pictures Stage: 3 Challenge Level:
Can you work out how these polygon pictures were drawn, and use that to figure out their angles?
Star Polygons Stage: 3 Challenge Level:
Draw some stars and measure the angles at their points. Can you find and prove a result about their sum?
Angles in Three Squares Stage: 3 and 4 Challenge Level:
Drawing the right diagram can help you to prove a result about the angles in a line of squares.
Angles, Polygons and Geometrical Proof Stage 3 - Short Problems Stage: 3
A collection of short problems on Angles, Polygons and Geometrical Proof.
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NRICH is part of the family of activities in the Millennium Mathematics Project.
NRICH is part of the family of activities in the Millennium Mathematics Project.