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20 sides. The interior angles of a polygon add up to 180(n-2). We solve: 180(n-2) = 3960 n-2 = 22 n-2(+2) = 22(+2) n=24
To find the measure of each interior angle in a polygon when the sum of the angles is given, you divide the total sum by the number of angles in the polygon. If the sum of the interior angles is 3960, and the polygon is a hexagon (6 sides), each interior angle would measure 660 degrees (3960 ÷ 6 = 660). This is because the sum of the interior angles of a polygon with n sides is given by (n-2) * 180 degrees.
163.6363... degrees.
Exterior angles add up to 360 degrees Interior angles add up to 3600 degrees
If you look at the polygons we see from day to day, you can see that the sum of their interior angles follows a pattern:number of sides: sum of angles3: 1804: 3605: 5406: 720..In other words, its 180(n - 2), where n is the number of sides on the polygon.So to work out how many sides that polygon has, you can say:1980 = 180(n - 2)∴ n - 2 = 1980/180∴ n = 22 - 2∴ n = 20So this polygon is a twenty-sided one, or an "icosagon".