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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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Q: What is the measure of an interior angle of a regular polygon of 12 sides?

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Each interior angle will measure 162 degrees

A regular polygon with each interior angle measuring 120 degrees is a hexagon.

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It is: 180-exterior angle = interior angle because there are 180 degrees on a straight line

The only regular polygon with an interior angle of 90 degrees is the square, which has four sides. Other polygons can have an interior angle of 90 degrees, but they would not be regular polygons.

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