RE: Math mini-contest problem for Day 6 on D.Buzz for April 2021 😎

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hmm, I say there is no solution. What @jfang003 solved is when the sum of interior angles increases by 4 deg. What I understand from the problem is that the average of the interior angles should increase by 4 degree, which means that the sum of interior angles has to increase by 4(n+1) (with n = number of chairs before @jancharlest arrives):

180(n-2)/n + 4(n+1) == 180(n-1)/(n+1)

This equation has no natural/integer solution, only n=3.841 which doesn't work for a number of chairs :)



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