Ângulo Excêntrico Interno e Polígonos inscritos

Vamos juntos tentar descobrir qual a relação matemática do ângulo excêntrico interno e dos ângulos de um polígono regular. Siga os passos abaixo:
[table][tr][td][img]data:image/png;base64,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[/img][/td][td]1 - Construa duas cordas na circunferência clicando nos vértices do polígono regular.[br] [b]Atenção[/b]! As cordas não podem passar pelo centro da circunferência e precisam ser concorrentes.[/td][/tr][tr][td][img]data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAADAAAAAtCAIAAABnKH+VAAACaElEQVRYCdWYwY3rIBBApwSXwNXSHmY7mBI4bAGU4A74Hfi8J5QCLJdAA5EogUvu5JYjPwmrWf84ToKXsPkIWZg45vnNgC1g/2IFXoxnD8MwJCb4+PzFmhiGYfgHaLs7/EqFj89FIADY7g7Vjl8D3QDa7g5v70O1mgJyx1A1mrf3IcNQ226eWtNjZxhq2018WmnbTQLKM/Q0nshA/7kh7/2TJK00RERKqRBCcSwGys4hYwwi9n1flomB1uRQCKHrOkR0zpXCYqBsQ0xgrS2oioHWGGKmEIJSSkr5w6zy3jPQekOMlbJqXfistVJKImKgHxliJuecECKLaRxHIpJSWmtj/F4YCxhKWM45REx3Z9CrDWOMEEIpNV3VChtKA4cQENEYc5XjmGdaayGE1nqecwxUzBAzEdGRSZ9LGth7r5RKrHOU9EcGKpNDUyXGmAagAyCApmkYZXrNvM1AhQ3FGE+GAOK5IsDR1Hz4eQ8DlTd0Cs0E6MGXDAMVMxRC6PseEaWUDcAfAHkO2XQqzcVwDwMVMHQcUmuNiDx9jDFSSqUUET2yEBRbh9L0EUIsTXXvPSIuzSzWMwVaaYiX/HEcp/edt/u+77pu3n/RwyHLziFjTPpMezAWMUZEvJtJDJRnaL7kXzzo1VNrLRFd/Yk7GSjP0CPZwGNMG3ezm4HyDE3HyGrflcRAeYayIC4uJqIb3ycMVMlQjHEcR6XUBSWfMlA9Q2m6LWUhA9UzFGPsum5pCWWgqoacc1JKDtO0wUB5hipsx2QYqrNtlWGoDtB9Q19XVNz6PO2x3t70TBprHheBXmLjfP9i5S8uAVZdNK11CQAAAABJRU5ErkJggg==[/img][/td][td]2 - Marque o ponto de intersecção entre as duas cordas desenhadas por você[/td][/tr][tr][td][img]data:image/png;base64,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[/img][/td][td]3 - Desenhe ou consulte a amplitude de um ângulo. Lembre-se o ângulo é formado por um vértice e dois lados. Clique em um ponto no lado, depois no ponto do vértice e em seguida em um ponto do outro lado (no sentido anti-horário)[/td][/tr][/table]
Vamos desenhar . . . o(*°▽°*)o
[br]1 - A amplitude dos ângulos formados pelas duas cordas [br][br]2 - Com o mesmo arco em comum desenhe um ângulo central e um ângulo excêntrico interno ... [br](¬‿¬) O que consegue perceber?

Information: Ângulo Excêntrico Interno e Polígonos inscritos