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Omni-MATH / Let n≥3 be an integer. What is the largest possible number of interior angles greater than 180^(∘) in an n-gon in the plane, given that the n-gon does not intersect itself and all …

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problem

Let n≥3n \ge 3 be an integer. What is the largest possible number of interior angles greater than 180∘180^\circ in an nn-gon in the plane, given that the nn-gon does not intersect itself and all its sides have the same length?
Plain-text mathematical notation (without MathML)
Let n≥3 be an integer. What is the largest possible number of interior angles greater than 180^(∘) in an n-gon in the plane, given that the n-gon does not intersect itself and all its sides have the same length?
Original LaTeX notation
Let $n \ge 3$ be an integer. What is the largest possible number of interior angles greater than $180^\circ$ in an $n$-gon in the plane, given that the $n$-gon does not intersect itself and all its sides have the same length?

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Source and history

task_id
7fd27961-9c16-5d55-b129-5aafd7c8c40e
task_key
test--7fd27961-9c16-5d55-b129-5aafd7c8c40e
task_revision_id
1
config / split
/ test

Official source

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