Prove that for any positive integer $n$ there is an equiangular hexagon whose sidelengths are $n + 1, n + 2 ,..., n + 6$ in some order.
Source: 2011 Saudi Arabia BMO TST 4.1 - Balkan MO
Tags: hexagon, geometry, consecutive
Prove that for any positive integer $n$ there is an equiangular hexagon whose sidelengths are $n + 1, n + 2 ,..., n + 6$ in some order.