The sum of the interior angles of an n-sided polygon is 180n - 360 degrees.
Oh, dude, a regular polygon? That's like a shape where all the sides and angles are the same. So, if you want the interior angles to be 165.6 degrees, you can calculate it by dividing 360 (the total degrees in a circle) by the number of sides in the polygon. If you do the math and find a whole number of sides that gives you 165.6 degrees, then sure, you can have a regular polygon with interior angles of 165.6.
Each interior angle = sum of angles/number of sides
The formula to find the sum of interior angles of a polygon is 180° × (n - 2), where n is the number of sides of the polygon.
The sum of the interior angles of any regular polygon of n sides is equal to 180(n - 2) degrees. Once you have the sum, divide by the number of sides to find an individual angle.
The sum of the interior angles of an n-sided polygon is 180n - 360 degrees.
If the polygon is a regular polygon then all interior angels are equal to 180-(360/no of sides of the polygon)
It is: (number of sides -2)*180 = sum of interior angles If its a regular polygon then: sum of interior angles/number of sides = each interior angle
You use the fact that the sum of the interior angles of a regular polygon with n sides is:180(n-2) degreesNow you have the sum of measures of all the interior angles so divide that by n and you have the measure of each interior angle.
If a regular polygon has n sides, then the number of triangles in that polygon is n - 2. thus, the sum of its interior angles is equal to (n - 2)180°.
144 degrees
Interior angles of any polygon: (N-2)*180 = sum of interior angles when N is the number of sides
The sum of the interior angles of any regular polygon of n sides is equal to 180(n - 2) degrees. To find an individual angle, divide that number by n.
The sum of a regular polygon's interior angles is always equal to (n-2) * 180, where n is the number of sides in the polygon. Given that one exterior angle measures 40 degrees, we can find the interior angle by subtracting 40 from 180 degrees (since the exterior and interior angles are supplementary) to get 140 degrees. So, the sum of the interior angles of the regular polygon is 140 * n.
Each interior angle = sum of angles/number of sides
The formula to find the sum of interior angles of a polygon is 180° × (n - 2), where n is the number of sides of the polygon.
To find the sum of interior angles for any N-sided polygon = N*180° - 360°Solve the equation: N*180° - 360° = 3240°, for N, and N = 20, so a 20 sided polygon will have sum of interior angles = 3240°, and if it is a regular polygon, then each angle = 162°