Angles and Polygons

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 

Age 11 to 14
Challenge Level
Take an equilateral triangle and cut it into smaller pieces. What can you do with them?

Polygon Pictures 

Age 11 to 14
Challenge Level
Can you work out how these polygon pictures were drawn, and use that to figure out their angles?

Star Polygons 

Age 11 to 14
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 

Age 14 to 16
Challenge Level
Drawing the right diagram can help you to prove a result about the angles in a line of squares.
A collection of short problems on Angles, Polygons and Geometrical Proof.