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

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Math problem for Day 6 on D.Buzz 😎

In a D.Buzz gathering where the participants' seats form a convex polygon, jancharlest@jancharlest arrived late and snuck a seat, causing the average of the interior angles to increase by 4°. How many seats were there before jancharlest@jancharlest arrived?

Math mini-contest problem for Day 6 on D.Buzz for April 2021 😎 | Ecency