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There is a formula which can help.

The sum of the interior angles of a polygon is 2n - 4 right angles.

When n = 12 then the interior angles total (2 x 12) - 4 = 24 - 4 = 20 right angles.

Then for a regular polygon, each angle measures (20 x 90) / 12 = 150°.

When the polygon is a regular polygon then it is perhaps quicker to calculate the external angle from which the interior angle can then be determined.

Exterior angle = 360 /12 = 30°

Interior angle = 180 - 30 = 150°

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โˆ™ 2010-11-06 13:49:18
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Q: What is the measure of an interior angle of a regular polygon of 12 sides?
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