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Pentagon Ring

Age 11 to 14 Short Challenge Level:

Each pentagon has a turn of 36o to pack against its neighbour.

Therefore it will take 10 (x36o) turns to complete a full-turn, i.e. 10 pentagons

                        chain of 10 pentagons around a circle

This problem is taken from the UKMT Mathematical Challenges.
You can find more short problems, arranged by curriculum topic, in our short problems collection.