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In a regular dodecagon by how much does the interior angle exceed the exterior angle? Please help

User Kirpit
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1 Answer

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A dodecagon has 12 sides

The way I remember is "decagon = 10 sides" and "do = duo = 2" so 10+2 = 12.

The measure of each exterior angle of a regular polygon is found by this formula

E = 360/n

plug in n = 12 to get

E = 360/n

E = 360/12

E = 30

Each exterior angle of a regular dodecagon is 30 degrees. The interior angle is 180-E = 180-30 = 150 degrees

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Interior angle = 150 degrees

Exterior angle = 30 degrees

Subtract the values: 150 - 30 = 120

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Final Answer: 120 degrees

User RobertW
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