1620
The sum of the interior angles of a triangle is 180 deg. For a convex polygon with n sides we can divide it to n-2 triangles. So the answer, if the polygon is convex, is (13-2)*180= 1980 deg * * * * * The polygon need not be convex. The formula for the sum of the interior angles is valid as long as the polygon is simple - that it, its sides do not cross each other inside the polygon.
No, a convex polygon cannot have an interior angle sum of 400 degrees. The sum of the interior angles of a convex polygon is always equal to (n-2) * 180 degrees, where n is the number of sides. Since the sum of the interior angles must be greater than 180 degrees for each interior angle, a convex polygon with an interior angle sum of 400 degrees would require at least 9 sides, which would make it a nonagon, not a polygon.
180
The sum of the interior angles of any regular polygon of n sides is equal to 180(n - 2) degrees. Divide that by the number of sides.
The formula for calculating the TOTAL of the interior angles of an n-sided polygon is: Angle Sum = 180 (n-2) degrees *For a regular convex polygon, each of the identical interior angles will be 180(n-2)/n This will also be 180 - (360/n), supplementary to the exterior angle.
Sum of interior angles of a n-gon is 180*(n-2) So for a 10-gon (decagon), the sum would be 180*8 = 1440 degrees. That is true whether the polygon is convex or not (as long as its sides do not intersect).
All triangles and regular polygons such as squares, parallelograms, trapezoids, and rectangles are convex because each of their interior angles is less than 180o.
That is correct. For example, a hexagon is a 6 sided shape with each side equal length, an each interior angle 60°. ■
Only when it is a regular polygon that all interior angles are of equal measure
Only if it is a regular polygon.
The sum of the exterior angles of a convex polygon which has sides and one angle at each vertex is 360 degrees.
Assume you are referring to polygons with interior angle measuring less than 90°There are few shapes that have that measurement. They are:isosceles triangle with no obtuse and right anglesequilateral triangle