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### Number and algebra

### Geometry and measure

### Probability and statistics

### Working mathematically

### For younger learners

### Advanced mathematics

# Angles and Polygons

### An Equilateral Triangular Problem

### Polygon Pictures

### Star Polygons

### Angles in Three Squares

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### Patterns in Number Sequences

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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!

Age 11 to 14

Challenge Level

Take an equilateral triangle and cut it into smaller pieces. What can you do with them?

Age 11 to 14

Challenge Level

Can you work out how these polygon pictures were drawn, and use that to figure out their angles?

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?

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.

These resources are designed to get you thinking about number sequences and patterns.