cristophermelvpa2rar cristophermelvpa2rar
  • 10-06-2018
  • Mathematics
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What is the sum of the measures of the angles of a 25-gon?

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joaoorangina
joaoorangina joaoorangina
  • 10-06-2018
Like any regular polygon:
Triangle - 3 angles - 60º each - total 180º
Square - 4 angles - 90º each - total 360º

Any polygon with n-sides:
Sum of internal angles = (n-2)*180º
Each angle = (n-2)*180º  / n

25 sides:
Sum of internal angles = 4140º
Each angle = (25 - 2 ) * 180 / 25 = 165,6º


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