Download 7-4-regular-polygons-ppt1

Advanced Geometry

A regular polygon is a polygon that is both
equilateral and equiangular.

Which appears to be a regular polygon? Why?
The exterior angles of any polygon (regardless if it is
equilateral or equiangular) is always 360 degrees.
 However, we have a special formula for equiangular
polygons (they don’t have to be regular polygons,
but can be).




An equiangular polygon has interior angles
that are all congruent.
A line can be drawn so that the interior angle
and the exterior angle are supplementary.
The exterior angles of any polygon equal 360
degrees.
Number of
sides
3
4
5
120
90
72
Shape
Measure of
Each Exterior
Angle
*Hint: Look for a relationship between the measure of
each exterior angle and what we know is the sum of
all the exterior angles .

The measure E of each exterior angle of an
equiangular polygon of n sides is given by the
formula:
E
360
n