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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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Q: What is the sum of all the angles in a convex hexagon?
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