Its angles are determined at its vertices which is the plural of vertex
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The angles
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The answer depends on the context. Angles are related in many ways: parallel lines, angles at a point, angles in a polygon - all impose constraints on angles from which their measure may be determined.
Cubes and Cuboids, some pyramids I think (not sure) Prisms. Most shapes can except for spheres ; p
A rectangular pyramid is a solid (3-dimensional) figure that comes to a point opposite the base (like the Pyramids of Egypt.) Its base is a four-sided plane figure with right angles and opposite sides equal (a rectangle--or square for that matter).