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cosines of the flat angles of the trihedral angle is −1, sum of dihedral ?

Source: 2019 Oral Moscow Geometry Olympiad grades 10-11 p6

May 22, 2019
geometry3D geometryanglessolid geometry

Problem Statement

The sum of the cosines of the flat angles of the trihedral angle is āˆ’1-1. Find the sum of its dihedral angles.