180*(40-2) = 180*38 = 6840 degrees.
Interior angle = 180n - 360 = 171n so 9n = 360 and your polygon has 40 sides. This works because the interior angles of any n-sided polygon total 180n - 360 degrees, usually expressed as "(2n - 4) right angles"
The sum of the angles of a regular n-sided polygon is equal to (n - 2) x 180 degrees.Therefore, the sum of the angles of a regular 40-sided polygon (tetradecagon) is equal to (40 - 2) x 180 = 6840 degrees. Therefore, 6840 refers to the sum of the degrees, not the number of diagonals.The number of diagonals of an n-sided polygon is given by n(n-3)/2. So a 40-sided polygon has 40*37/2=740 diagonals.
Method 1: Exterior angle of n-sided regular polygon is 360/n degrees, in this case 40 so interior angle is 180 - 40 ie 140 degrees; Method 2: Interior angles of regular n-sided polygon total 180n - 360 degrees, in this case 1260 degrees so each angle is 1260/9 ie 140 degrees.
Exterior angle = 360*9 = 40 degrees. So interior angle = 180 - 40 = 140 deg
The interior angles of a 40 sided polygon add up to 6840 degrees
180*(40-2) = 180*38 = 6840 degrees.
The sum of the interior angles of a convex polygon with n sides is given by (n-2)x180o. So for a 40 sided polygon n=40; thus (40-2)x180o = 38x180o = 6840o.
If its a regular 9 sided polygon then the exterior angles are 40 degrees.
Method 1: Interior angles of regular n-sided polygon are ((2n - 4) x 90)/n degrees When n = 9 this works out at 140 degrees. Method 2: Exterior angles of regular n-sided polygon are 360/n degrees in this case 40 degrees, making interior angles 180 - 40 ie 140 degrees.
Interior angle = 180n - 360 = 171n so 9n = 360 and your polygon has 40 sides. This works because the interior angles of any n-sided polygon total 180n - 360 degrees, usually expressed as "(2n - 4) right angles"
The interior angles add up to 6840 degrees
The sum of the angles of a regular n-sided polygon is equal to (n - 2) x 180 degrees.Therefore, the sum of the angles of a regular 40-sided polygon (tetradecagon) is equal to (40 - 2) x 180 = 6840 degrees. Therefore, 6840 refers to the sum of the degrees, not the number of diagonals.The number of diagonals of an n-sided polygon is given by n(n-3)/2. So a 40-sided polygon has 40*37/2=740 diagonals.
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.
The sum of the interior angles of any regular polygon of n sides is equal to 180(n - 2) degrees. 6840 degrees
No polygon can have a sum of interior angles less than 180 degrees.
The name of a 40 sided polygon is Tetracontagon.