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
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.
For any n-sided regular polygon the exterior angles are 360/n degrees.