6.2 Angles Of a Polygon

Question 1

Polygon Interior Angles Theorem

Answer 1

The sum of the measures of the interior angles of a convex n-gon is 180(n-2)

Question 2

Corollary to Polygon Interior Angles Theorem

Answer 2

The measure of each interior angle of a regular n-gon is 180(n-2)/n

Question 3

Polygon Exterior Angles Theorem

Answer 3

The sum of the measures of the exterior angles, one from each vertex, of a convex polygon is 360 degrees

Question 4

Corollary to Polygon Exterior Angles Theorem

Answer 4

The measures of each exterior angle of a regular n-gon is 360/n