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Calculate the measure of a central angle of a regular onehundred and eighty-sided polygon?
Wiki User
∙ 14y ago
The sum of the interior angles of a regular polygon is 2n-4 right angles where n is the number of sides.
If n = 180, then 2n - 4 = 360 - 4 = 356 right angles.
Each interior angle therefore measures 356 x 90 ÷ 180 = 178°.
The central angle of each segment of this polygon therefore measures 180 - 178 = 2°.
Wiki User
∙ 14y ago
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