Sum of "angles" of a 3D tetrahedron

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We know that the sum of angles of a triangle equals the straight angle (180 degrees).

Can we convert a 2D theorem to 3D?

e. g. We can generalize the triangle to a tetrahedron, angles of the triangle to the dihedral angles of tetrahedron. Do we know or can we calculate the sum of dihedral angles of the tetrahedron?

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The similar theorem for tetrahedrons is that the sum of its solid angles plus twice the sum of its dihedral angles is $4\pi$

See here