The sum of all angles of any polygon does not depend on what kind of polygon it is. It depends on the number of sides a polygon has.
So that the sum of all angles of the given hexagon (a 6-sided polygon) is 720°, found by using the formula
Sum of a polygon angle measures = 180°(n - 2), where n is the number of sides.
Since this is a convex hexagon, all its interior angles are less than 180°.
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The sum of the external angles of ANY convex polygon is 360 degrees. The sum of the internal angles is always equal to 180 (n-2) where n is the number of angles.
All interior angles of a 6 sided hexagon add up to 720 degrees
The sum of the angles is 900 degrees - and the polygon does not need to be convex.
The exterior angles of any polygon always add up to 360 degrees
A hexagon cannot have a sum. There can be the sum of its interior angles, its exterior angles, its side lengths, its area (and that of some other area), or other characteristics, but not of a hexagon.