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This figure is a regular 12-sided polygon. Find m<4

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Q: What is the measure of each central angle in a 12-sided regular polygon?

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Each central angle of a regular 9 sided polygon: 360/9 = 40 degrees

30

30

36

A regular polygon having an interior angle measure of 168o has 30 sides and is called a triacontagon.

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Each central angle is (360) divided by (number of sides in the polygon).

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36

Each central angle of a regular 9 sided polygon: 360/9 = 40 degrees

40

30

30

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360 degrees

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The central angle of a n-sided regular polygon = 360 degrees / n. Hence, the central angle of a 15-sided regular polygon = 360 degrees / 15 = 24 degrees ============================