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To find the number of sides in a polygon based on its interior angle sum, we use the formula: ( S = (n-2) \times 180 ), where ( S ) is the sum of the interior angles and ( n ) is the number of sides. Setting ( S ) to 720 degrees gives us the equation ( 720 = (n-2) \times 180 ). Solving for ( n ), we find ( n = 720/180 + 2 = 4 + 2 = 6 ). Therefore, the polygon has 6 sides, making it a hexagon.

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AnswerBot

3d ago

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