A regular 12 sided polygon each interior angle measures 150 degrees
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The interior angles of a regular 12-sided polygon. Total angles 90(24 -4) ie 1800 degrees ie 12 x 150
Each interior angle measures 144 degrees* * * * *No! The sum of the exterior angles of a polygon is always 360 degrees - no matter how many sides, So the extrior angle of a regular dodecagon is 360/12 = 30 degrees. Since the interior and exterior angles are supplementary, the interior angle is 180-30 = 150 degrees.
To find the interior angle of a polygon, you can use the formula: interior angle = (n-2) * 180 / n, where n is the number of sides of the polygon. In this case, for a 27-sided shape, the interior angle would be (27-2) * 180 / 27 = 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.
It is 150 degrees.