Since the question is unfinished, I'll assume the most obvious completion: "planes."
Yes, a triangular pyramid is composed of 4 non-co-planar points which form 4 intersecting planes.
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A three-dimensional space contains at least four noncoplanar points. An example of this is the vertices of a tetrahedron, which consists of four points that do not lie in the same plane. This arrangement ensures that the points span three dimensions, demonstrating their noncoplanarity. Other examples include points in a cube or the corners of a pyramid.
No, intersecting lines form four pairs of supplementary angles
Yes. If two intersecting lines form the angles A, B, C and D (in rotational order) then AB, BC, CD and DA are pairs of supplementary angles.
Four.
Four pairs, which intersect at the four vertices!