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How do you find the measure of each angle in a 30 sided regular polygon?
Wiki User
∙ 11y ago
Sum of exterior angles = 360 degrees.
So each exterior angle = 360/30 = 12 degrees
and so, each interior angle = 180-12 = 168 degrees.
Edit: Not quite so.
For a 30 sided regular shape, the sum of the external angles is
(2n+4)x90 = 5760 degrees
so each external angle is 5760/30 = 192 degrees.
The sum of the internal angles is (2n-4)x90 = 5040 degrees
so each internal angle is 5040/30 = 168 degrees.
The two angles should add up to 360. They do.
Wiki User
∙ 11y ago
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