Corollary: Triangulation of an N-gon and Sum of Interior Angles
(related to Proposition: 1.32: Sum Of Angles in a Triangle and Exterior Angle)
If a convex n-sided figure is triangulated, the sum of its angles equals \(2(n-2)\) right angles.
\[\sum \alpha_i=(n-2)\times 180^\circ=2(n-2)\times 90^\circ\]
Table of Contents
Adapted from CC BY-SA 3.0 Sources:
- Callahan, Daniel: "Euclid’s 'Elements' Redux" 2014
Adapted from (Public Domain)
- Casey, John: "The First Six Books of the Elements of Euclid"