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To find the number of sides in a regular polygon with a given interior angle, you can use the formula: ( n = \frac{360}{180 - \text{angle}} ). For a polygon with a 72-degree interior angle, this would be ( n = \frac{360}{180 - 72} = \frac{360}{108} ), which simplifies to ( n = \frac{360}{108} = \frac{10}{3} ), approximately 3.33. Since the number of sides must be a whole number, a polygon cannot have an interior angle of 72 degrees, indicating that the angle pertains to a different context in polygon geometry.

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1mo ago

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