15

Part of 2017 Baltic Way

Problems(1)

Maximal number of large angles in an equilateral n-gon

Source: Baltic Way 2017, Problem 15

n \ge 3

be an integer. What is the largest possible number of interior angles greater than

180^\circ

n

-gon in the plane, given that the

n

-gon does not intersect itself and all its sides have the same length?

geometrygeometry proposedanglespolygon