The exterior angles add up to 360 degrees so it is 360/12=30 degrees
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Exterior angle of ANY regular n-sided polygon is 360/n degrees, in this case 360/12 ie 30o
The regular polygon whose exterior angle measure is 12 degrees, has 30 sides (360/12, since the exterior angles on any polygon always add up to 360 degrees).
A regular 12 sided polygon each interior angle measures 150 degrees
Suppose the interior angle is x degrees. Then the exterior angle is 180 - x degrees. x = 5*(180-x) = 900 - 5x So 6x = 900 so that x = 150 degrees. So exterior angle = 30 degrees. If the polygon has n sides (and n angles) the sum of its exterior angles is 30*n But the exterior angles of a polygon add to 360 degrees So 30*n = 360 so that n = 12. ANSWER: 12 sides.
The interior angles of a regular 12-sided polygon. Total angles 90(24 -4) ie 1800 degrees ie 12 x 150