How do you find the measure of one interior angle of a regular 12-gon?

Question

Mathematics

Leslie Prince

13 October, 09:34

How do you find the measure of one interior angle of a regular 12-gon?

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Answers (1)

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Shaniya Rowland · Answer 1

The SUM of the interior angleS of a regular n-gone, where n is the total number of sides: is : SUM of all angles = (n-2) * 180°

For a 12-gon, then:

SUM of all angles = (12-2) * 180° = 1800°

Since there are 12 interior angles, then the measure of one angle equal:

1800/12 = 150°