1. The problem statement, all variables and given/known data Given that the sum of interior angle measures of a triangle in hyperbolic geometry must be less than 180 degree's, what can we say about the sum of the interior angle measures of a hyperbolic n-gon? 2. Relevant equations 3. The attempt at a solution So in normal geometry an n-gon has to have interior angles of at least (n-2)*180 because an n-gon can be filled in with n-2 triangles that each have interior angles of at least 180's ... is this something like that? Or maybe all n-gon's must have interior angles less than 180 because hyperbolic geometry doesn't obey the normal rules it seems. I'm quite lost. Can somebody here help me understand what's going on?