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TOT 366 1993 Spring A J5 cut triangle 140-20-20

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June 10, 2024
geometrycombinatorial geometrysimilar triangles

Problem Statement

A paper triangle with the angles 20o20^o, 20o20^o and 140o140^o is cut into two triangles by the bisector of one of its angles. Then one of these triangles is cut into two by its bisector, and so on. Prove that it is impossible to get a triangle similar to the initial one.
(AI Galochkin)
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