Posted by **Kalkidan** on Thursday, March 8, 2012 at 11:49am.

Show that centeral angle of n-sided regular polygon is 360/n

- geometry -
**Steve**, Thursday, March 8, 2012 at 3:18pm
divide the n-gon into n triangles. Because the n-gon is regular, all the triangles are congruent. Thus, there are n equal angles which add up to 360°. So, each central angle is 360/n.

## Answer this Question

## Related Questions

- geometry - 1) In a regular polygon the difference between the interior angles of...
- math--fast help please - Find the interior and exterior angle measurements of a ...
- Math - Are the statements Always, Sometimes or Never. Please explain why. Thanks...
- Identifying patterns - If the pattern of polygons continues, how many sides will...
- Algebra - The interior angles of a regular polygon are all equal. What is the ...
- math. - Each exterior angle of a regular polygon is 15 degrees. 1.Determine the ...
- Geometry - 1. How many sides does a regular polygon have if one exterior angle ...
- geometry - If the ratio of the interior angle to the exterior angle is 5:1 for a...
- Math - What is the measure in degrees of each interior angle in a regular 10 ...
- geometry - If the measure of an exterior angle of a regular polygon is 24, how ...

More Related Questions