Proof that an N-gon is 180 Degrees

To prove that an n-gon is 180°, just divide the shape into triangles by drawing diagonals, then multiply 180° by the total number of triangles. For example, a quadrilateral can be split into two triangles by drawing a diagonal from one corner to the opposite corner. 180°x2=360°. Note that the number of triangles is always 2 less than the number of sides in the n-gon. For example, a pentagon will have three triangles and an octagon will have 6.

Proof that an N-gon is 180 Degrees

Provided by: Mometrix Test Preparation

Last updated: 02/19/2018


Mometrix Test Preparation - Chasing your dreams requires the right tools. Find your test
Follow us


Mometrix eLibrary