MathDB
2008 ToT Spring Senior A P1 triangle dissected into several triangles, angles

Source:

March 7, 2020
anglescombinatorics

Problem Statement

A triangle has an angle of measure θ\theta. It is dissected into several triangles. Is it possible that all angles of the resulting triangles are less than θ\theta, if (a) θ=70o\theta = 70^o ? (b) θ=80o\theta = 80^o ?