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There is no such thing as a 1-sided polygon.

Proof:

The sum of the measure of the interior angles of a polygon is equal to 180(n-2) where n is the number of sides in the polygon.

If n=1, then the sum of the angles is 180(1-2) which is -180.

Since no angle can have a negative measure, the figure cannot exist.

A similar proof uses the formula for calculating the number of diagonals in the polygon, and this formula also shows that a 2-sided polygon cannot exist.

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15y ago

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