Friday

March 27, 2015

March 27, 2015

Posted by **sam** on Thursday, August 20, 2009 at 12:18am.

angle of a polygon and the measures of an interior

and an exterior angle of the polygon?

- geometry -
**MathMate**, Thursday, August 20, 2009 at 6:30amIt is important to specify that the following calculations apply to a regular polygon, of which all sides are equal in length, and all interior angles are equal.

Denote the number of sides by n.

The total of the central angles make up 360°, so each central angle is 360/n°.

The exterior angle equals also 360/n°. Note that the exterior angle is the supplement of the interior angle, namely 180° - interior angle.

The interior angle is therefore 180-exterior angle, and in terms of n, it is

interior angle = 180 - 360/n

**Answer this Question**

**Related Questions**

Geometry - Any help would be greatful. What is the relationship between the ...

geometry - What is the relationship between the measure of a central angle of a ...

geometry - If the ratio of the interior angle to the exterior angle is 5:1 for a...

Geometry - 1. How many sides does a regular polygon have if one exterior angle ...

Math - 1. The measure of an interior angle of a regular polygon is 20 more than ...

Geometry - A regular polygon has an exterior angel measure of (x+3) Degrees and ...

Math - Are the statements Always, Sometimes or Never. Please explain why. Thanks...

math--fast help please - Find the interior and exterior angle measurements of a ...

Math - The measure of an exterior angle of an equiangular polygon is twice that ...

Geometry - Find the measures of an interior angle and an exterior angle of a ...