# What is the sum of the measures, in degrees, of the interior angles of a 20-sided polygon?

All enclosed polygons have an internal angle measure of either

if the sides are of varying length then the polygon has to be plotted and the answer is more complex as the adjacent side lengths have to be taken into account.

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The sum is

The formula for calculating the sum of the interior angles of a polygon is as follows:

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The sum of the measures of the interior angles of a polygon with ( n ) sides can be calculated using the formula: ( (n - 2) \times 180^\circ ). Substituting ( n = 20 ) into the formula, we get: ( (20 - 2) \times 180^\circ = 18 \times 180^\circ = 3240^\circ ). Therefore, the sum of the measures of the interior angles of a 20-sided polygon is ( 3240^\circ ).

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