Select the correct answer. A regular polygon has an exterior angle measuring \( 30^{\circ} \). How many sides does the polygon have? A. 12 B. 14 C. 10 D. 8
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To find the number of sides of a regular polygon based on its exterior angle, you can use the formula that states that the sum of all exterior angles is \(360^{\circ}\). Since each exterior angle is equal in a regular polygon, you divide \(360^{\circ}\) by the measure of one exterior angle. So, \(360^{\circ} / 30^{\circ} = 12\). Thus, the polygon has 12 sides. The correct answer is A. 12. In modern times, regular polygons can be found everywhere! From the impressive architectural design of the Pentagon to the beautiful symmetrical shapes in nature, recognizing these polygons allows us to appreciate and understand the structure and order in our world, making them both fascinating and practical in everyday life.
