Geometry Chapter 10 -1Polygons

Convex Polygon – a polygon with a line containing a side with a point in the interior of the polygon.

Concave Polygon - a polygon WITHOUT a line containing a side with a point in the interior of the polygon

Interior Angle Sum Theorem

The sum of the measures of the interior angles of a convex polygon is

S = 180(n – 2)

n = number of sides.

Interior Angle of a regular Polygon

The measure of the interior angle of a regular polygon is

n = number of sides.

180( 2)nS

n

Exterior Angle Sum Theorem

The sum of the measures of the exterior angles of a convex polygon, one at each vertex is

3600

Exterior Angle of a Regular Polygon

The measure of an exterior angle of a regular polygon is

n = number of sides.

360S

n