The formula of the sum of the inner angles of n polygons is: 180*(N-2), and let the size of this outer angle be x,

With 180*(N-2)+x=2000, it is easy to know 0.

180*(N-2)=2000-x, so 2000- 180.

10. 1 1 & lt； n-2 & lt； 1 1. 1 1

Because n is a positive integer, N-2= 1 1, N= 13.

180*( 13-2)+x=2000，x=20。

The outer angle is 20.