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Providing that it is a regular polygon then let its sides be x:

So: 0.5*(x2-3x) = 464 diagonals

Then: x2-3x-928 = 0

Solving the equation: x = 32 sides

Total sum of interior angles: 30*180 = 5400 degrees

Each interior angle: (5400+360)/180 = 168.75 degrees

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โˆ™ 2014-03-05 12:50:03
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Q: What is the size of each individual interior angle of a polygon having 464 diagonals showing key stages of work?
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