answersLogoWhite

0


Best Answer

The sum of the interior angles (the angles of a polygon is equal to the 180*(n-2), where n is the number of sides. For example, if a polygon has 5 sides the sum of the angles is 180*(5-2), which is 540 degrees.

The sum of the exterior angles (the angles on the outside of the polygon made by extending a side and measuring the angle between the extension and the nearest side) is always equal to 360 degrees.

User Avatar

Wiki User

12y ago
This answer is:
User Avatar

Add your answer:

Earn +20 pts
Q: How do you work out the angle sum of any polygon?
Write your answer...
Submit
Still have questions?
magnify glass
imp
Related questions

Does the angle sum formula only work on convex polygons?

No, any polygon.


What is the angle sum of a polygon of 9 sides?

The angle sum of any polygon is 360 degrees.


How many degrees are in the sum of an angle and an exterior angle of a regular polygon?

360 ________________________________________________ Sum of Interior Angles of a Polygon = 180 (n-2) Sum of Exterior Angles of a Polygon = 360 The sum of an angle and an exterior angle of a regular polygon is 360


What is the formula for an exterior angle sum theorem?

For any polygon: 180-interior angle = exterior angle and the exterior angles of any polygon add up to 360 degrees


What is the sum of the measure of the exterior angle of any polygon?

360 degrees


What is the sum of exterior angle of pentagon?

The sum of the exterior angles of any polygon is 360 degrees.


What is the sum of the exterior angles of a 6 sided polygon?

Sum of exterior angles of any sided polygon is 360 so sum of exterior angle of 6 sided polygon (hexagon) is 360


What is the sum of the exterior angle for a 15-gon?

The sum of the exterior angles of ANY polygon is 360 degrees.


What does the Polygon Exterior Angle Sum Theorem say?

Theorem 6-1-2; Polygon Exterior Angle Sum Theorem:The sum of the exterior angle measures, one angle at each vertex, of a convex polygon is 360 degrees.


If one exterior angle of a polygon measures 36 degrees what is the sum of the polygons exterior angles?

The sum of the exterior angles in any polygon is 360 degrees.Therefore that polygon is a decagon.


What is the exterior angle sum of a 27 sided polygon?

The sum of the exterior angles of any polygon, including a 27 sided one, is 360 degrees.


How do you fin the angle sum of any polygon?

The sum of the interior angles of any regular polygon of n sides is equal to 180(n - 2) degrees. The exterior angles of any polygon add up to 360.