College Math CLEP Prep Practice Exam

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How many angles does a regular polygon with 9 sides have?

The correct answer is: 18

A regular polygon is a polygon where all angles and sides are equal. In a regular polygon with 9 sides, all angles are equal to each other. Since the sum of the angles in any polygon is given by (n-2)180 degrees, where n is the number of sides, we can find the measure of each angle by dividing the total sum by the number of sides. Therefore, each angle in a regular polygon with 9 sides measures (9-2)180/9 = 1260/9 = 140 degrees. Since all angles are equal, a regular polygon with 9 sides has 9 angles, each measuring 140 degrees. This means that the correct answer is C, as none of the other options have 9 angles. Option A is incorrect because it only represents the number of sides and not the number of angles. Option B is incorrect because it is