To find the number of sides of a convex polygon given the sum of all angles except one, we can use the formula: (n-2) * 180, where n represents the number of sides of the polygon. In this case, the sum of all angles except one is 2180 degrees. Therefore, we can set up the equation: (n-2) * 180 = 2180. Solving for n, we get n = (2180/180) + 2, which simplifies to n = 14. Hence, the polygon has 14 sides.
No. In a convex polygon the sum of the interior angles is (n-2)*180 deg where n is the number of interior angles. In a non-convex polygon this is not necessarily true.
The sum of all angles of any polygon does not depend on what kind of polygon it is. It depends on the number of sides a polygon has.So that the sum of all angles of the given hexagon (a 6-sided polygon) is 720°, found by using the formulaSum of a polygon angle measures = 180°(n - 2), where n is the number of sides.Since this is a convex hexagon, all its interior angles are less than 180°.
If the polygon (convex or concave) has n sides, then the sum of its interior angles is 180*(n-2) degrees. The sum of its exterior angles is 360 degrees - irrespective of the number of sides.
The sum of the external angles of ANY convex polygon is 360 degrees. The sum of the internal angles is always equal to 180 (n-2) where n is the number of angles.
180(n - 2) where n is the number of sides.
No. In a convex polygon the sum of the interior angles is (n-2)*180 deg where n is the number of interior angles. In a non-convex polygon this is not necessarily true.
There is no maximum number for a an irregular concave polygon. If it must be convex, then there is a maximum of 3.
The sum of all angles of any polygon does not depend on what kind of polygon it is. It depends on the number of sides a polygon has.So that the sum of all angles of the given hexagon (a 6-sided polygon) is 720°, found by using the formulaSum of a polygon angle measures = 180°(n - 2), where n is the number of sides.Since this is a convex hexagon, all its interior angles are less than 180°.
If the polygon (convex or concave) has n sides, then the sum of its interior angles is 180*(n-2) degrees. The sum of its exterior angles is 360 degrees - irrespective of the number of sides.
360 degrees. The sum of the measures of the exterior angles any convex polygon will always be 360 degrees. The formula for finding the sum of the measures of the interior angles is 180(n-2) when n= the total number of sides the polygon has.
The sum of the external angles of ANY convex polygon is 360 degrees. The sum of the internal angles is always equal to 180 (n-2) where n is the number of angles.
180(n - 2) where n is the number of sides.
The sum of the interior angles of a convex polygon is 180*(n-2) degrees, where n is the number of vertices and angles.That depends on how, many sides the polygon has.-- Subtract 2 from the number of sides.-- Multiply that number by 180.-- The result is the sum of the interior angles in that polygon.It doesn't matter whether the sides of the polygon are all equal ("regular" polygon), orwhether it's all funny and squashed. You only need to know the number of sides it has.
The relevant formula for the sum of the interior angles of a convex polygon is (n - 2)(180) degrees, where n is the number of sides. In this instance, 180 n - 360 = 1260, or 180n = 1620, or n = 9.
Use this form to work out the problem: (n - 2)180° where n is the number of sides Suppose that we have a regular polygon. This is the example of a convex polygon. Given that we have a 5-sided convex polygon, we obtain: (5 - 2)180° = 3 * 180° = 540°
None.A polygon is made up of straight line edges between its vertices. There are the same number of edges as vertices in a polygon.In the case of a polygon, it is convex if all interior angles are less than 180o.
The sum of exterior angles, of any polygon - convex or concave, and whatever the number of sides - is 360 degrees or 2*pi radians.