Posted by sam on Thursday, August 20, 2009 at 12:18am.
What is the relationship between the measure of a central
angle of a polygon and the measures of an interior
and an exterior angle of the polygon?

geometry  MathMate, Thursday, August 20, 2009 at 6:30am
It 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 180exterior 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...
 geometry  Find the measure of each exterior angle of a regular polygon whose ...
 mathfast help please  Find the interior and exterior angle measurements of a ...
 geometry  Find the measure of each interior angle of a regular polygon whose ...
More Related Questions