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Outside the Nonagon

Stage: 3 Short Challenge Level: Challenge Level:1

The diagram shows a regular 9-sided polygon (a nonagon or an enneagon) with two of the sides extended to meet at the point X.

What is the size of the acute angle at X?




If you liked this problem, here is an NRICH task which challenges you to use similar mathematical ideas.

 

This problem is taken from the UKMT Mathematical Challenges.
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