No matter what, any Euclidean quadrilateral can be composed of 2 triangles, thus, giving the quadrilateral 360o (because triangles contain an angle value of 180o). Also, since a quadrilateral contains 4 sides, it is possible for a triangle to intercept on the 2 sides, and produce a 4 sided figure.
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Two triangles
it's impossible to have a quadrilateral that can't be cut into triangles.
You cannot make four triangles our of a quadrilateral by ONE line through it. One line can give you at most two triangles. Two lines, each running from one vertex of the quadrilateral to the opposite vertex, will give 4 triangles.
A pair of triangles can form a 4 sided quadrilateral
Yes