Question

Using the hyperbolic angle sum theorem, prove theorem 1. theorem 1 (the exterior angle inequality theorem): An exterior angle of a triangle is greater than each of the remote/nonadjacent interior angles of the triangle. hyperbolic angle sum theorem: The sum of the measures of the angles of a hyperbolic triangle is less than 180°. Please give an original answer, the explanations already posted on Chegg do not answer this question or do not answer in a language that I understand (such as, h i inversion, i mapping, etc.) Thanks!

Answer 1