A polyhedron's edges can intersect at any angle less than 180. The only polyhedra to have standard angles are prisms and platonic solids.
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They can form an angle of nay measure.
They are the faces of the polyhedron.
Can be. It would be the net of the polyhedron.
They form an angle with a measurement of exactly 90° - that is part of the definition of :"perpendicular".
Vertex means each angular point of a polygon, polyhedron, or other figure or a meeting point of two lines that form an angle.