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Assume each side forms the base of an isosceles triangle with its peak at the center, so the entire figure is 21 triangles with their tips all meeting. The center has 360 degrees divided by the 21 tips of the triangles, so each tip is 360/21 = 17.143 degrees. This means that the base angles of each triangle are 81.429 degrees (180 - 17.143 = base angles sum to 162.857, divide by two since they're congruent and each angle = 81.429 degrees). Since the interior angle equals the sum of the base angles of two adjacent triangles, the answer is 81.429 * 2 = 162.857 degrees.

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Q: What is the measure of one interior angle of a 21-agon?
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