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Brenda is walking round an irregular hexagon (a shape with six straight sides). She starts off part of the way along one of the sides.
At each vertex (corner) she turns.
How much does she turn in total when she has walked all the way round?
Use this example to prove that the sum of the external angles of any hexagon is $360$ degrees.
The external angle is found by extending the side and measuring the angle between the extended line and the next side.
Cut four triangles from a square as shown in the picture. How many different shapes can you make by fitting the four triangles back together?
The image in this problem is part of a piece of equipment found in the playground of a school. How would you describe it to someone over the phone?