olymmath

HMMT 2006 T10

  • Team 1
  • Answer

Suppose we have an nn-gon such that each interior angle, measured in degrees, is a positive integer. Suppose further that all angles are less than 180∘180^{\circ}, and that all angles are different sizes. What is the maximum possible value of nn ? Prove your answer.

Dataset text NuminaMath olympiads. Quoted with source.

Show the answer

26

Solutions

No solution is on olymmath yet. Official and human solutions come first when they arrive. AI solutions come after them, with a label.

Add a solution

Similar problems

These problems have the most words in common with this statement.

Locator hmmt/2006/t10 · Tag 157CKQD2H2 · Edit this page on GitHub · Keys: j next, k previous