what is the measure of one outer angle of a 12 sides regular polygon. what is the measure of one inner angle?
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- Sum of interior angles = (n-2) x 180°
- Sum of interior angles = 10 x 180° = 1800°
Once you know the sum, you can divide that by 12 to get the measure of each interior angle:
- 1800°/12 = 150°
This means each side intersects the next side only 30° less than a straight line! That is one of two reasons drawing a regular dodecagon freehand is so difficult. The other reason is the difficulty of drawing 12 equal-length sides.
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