In a convex figure, if you pick any two points, the points between them are also a part of the figure.
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A convex figure has eight sides. What is the sum of its exterior angles?
The sum of the exterior angles of any polygon - however many sides it has and whether it is convex or concave - is always 360 degrees.
the union of two convex sets need not be a convex set.
A convex polygon.I suspect that what you mean is a convex polygon.
convex