Count the number of sides = N.
Then sum of all the interior angles = (N -2)*180 degrees.
I assume you mean a polygon inscribed in a circle. It is regular if all its sides and angles are equal.
30o
A regular polygon has all its sides equal and all its angles equal. One consequence is that no angle can be reflex (between 180 and 360 degrees). A concave polygon, on the other hand, must have at least one angle that is a reflex angle. The line joining any two points inside any convex polygon (and that includes regular ones) must lie wholly within the polygon. In a concave polygon, it must be possible to find two point inside the polygon such that the line joining them crosses the boundaries of the polygon.
144 degrees
The sum of a regular polygons exterior angles always = 360
I assume you mean a polygon inscribed in a circle. It is regular if all its sides and angles are equal.
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)
30o
Divide one of its exterior angles into 360
A regular polygon has all its sides equal and all its angles equal. One consequence is that no angle can be reflex (between 180 and 360 degrees). A concave polygon, on the other hand, must have at least one angle that is a reflex angle. The line joining any two points inside any convex polygon (and that includes regular ones) must lie wholly within the polygon. In a concave polygon, it must be possible to find two point inside the polygon such that the line joining them crosses the boundaries of the polygon.
144 degrees
Each interior angle = sum of angles/number of sides
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°.
The sum of a regular polygons exterior angles always = 360
For any n-sided regular polygon the exterior angles are 360/n degrees.
Interior angles of any polygon: (N-2)*180 = sum of interior angles when N is the number of sides