100 Day Summer Challenge

100 problems in 100 days. #100problems

Day 88

88 of 100: The Second Rule of Octagon Club Is Don't Talk About Octagon Club

Geometry Level 2

Above is a simple octagon (that is, one where the sides don't intersect) where 4 of the internal angles (marked in blue) are acute.

Given any simple octagon, what's the maximum possible number of acute internal angles?

It's possible to get a good idea of the solution by just drawing some octagons, but the best solution will also prove you can't do better!

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