MathDB

2

Part of 1953 Czech and Slovak Olympiad III A

Problems(1)

Angles of a triangle

Source: Czech and Slovak Olympiad 1953, National Round, Problem 2

2/15/2022
Let α,β,γ\alpha,\beta,\gamma be angles of a triangle. Two of them can be expressed using an auxiliary angle φ\varphi in a way that \alpha=\varphi+\frac\pi4, \beta=\pi-3\varphi. Show that α>γ.\alpha>\gamma.
geometryanglesTriangle