## Puzzle of the Week Archive

### 20-gon

The vertices of a regular 20-sided polygon are divided into 10 pairs, and each pair of vertices is connected by a line segment. Show that there must be a pair of these line segments having equal length.

**Solve by:**
Thursday, May 12

Send solutions to andrewbelt@utk.edu to be added to the list of solvers. Anyone is welcome to submit a solution.