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The formula for the number of diagonals in a polygon is s*(s-1)/2 - s

To find such a polygon, we solve for when that formula equals s

s*(s-1)/2 - s = s

s*(s-1)/2 = 2s

(s-1)/2 = 2

s-1 = 4

s = 5

Thus, the polygon with this property is the pentagon.

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13y ago

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