Just realistic

Geometry Level 3

Is there a tetrahedron such that every edge is adjacent to some obtuse angle for one of the faces?

No. Yes.

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1 solution

I tetrahedron consists of Triangles and if every edge is adjacent to a obtuse angle implies all angles of Triangles of Tetrahedron are obtuse and such a structure wont be even closed one at least in 3 dimensions. I dont know anything about higher dimensions.

Hence, N O \boxed{NO}

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