Challenge Level

Below are some examples of pictures made by taking a regular polygon and rotating it by a fixed angle about one of its vertices.

**Can you work out the polygon used and the angle of rotation in each picture?
How many other angles in each picture can you calculate?**

Try drawing some pictures of your own in this way. You may wish to use GeoGebra. You could challenge a friend to work out which polygon you used and the size of all the angles.