Chapter 6.2: Angles of Polygons

Question 1

Thm. 6.1 - Polygon Interior Angles thm.

Answer 1

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

Question 2

Corollary to Thm. 6.1

Answer 2

the measure of each interior angle of a regular n-gon is 1/n (n-2)(180).

Question 3

Thm. 6.2 - Polygon Exterior Angles thm.

Answer 3

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

Question 4

Corollary to Thm. 6.2

Answer 4

the measure of each exterior angle of a regular n-gon is 1/n (360).