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3 maximum. A hexagon has 720°. With 3 right angles = 270°, this leaves 450° divided over the remaining 3 (average 150° each). If it had 4 right angles, then there would be 360° to be divided between the remaining two angles. So one of the angles would have to be greater than 180° (making it concave, not convex). An angle at a vertex cannot equal 180°, because that would be a straight line, then it wouldn't be a hexagon, anymore.
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