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For any given polygon, the exterior angles will sum to 360 degrees. Thus, for a regular polygon, dividing by the number of exterior angles (the same as the number of sides) will produce the exterior angle. For a dodecagon (12 sides), 360/12=30 degrees.

You can also find the interior angle easily because the interior and exterior angles are supplementary: 180-30=150 degrees for an interior angle.

Q: What is the exterior angle of a regular dodecagon?

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Interior Angle: 150 degrees (Interior Angle Sum: 1800) Exterior Angle: 30 degrees (Exterior Angle Sum: 360)

360/12 = 30 degrees

360/12 = 30 degrees

Sum of exterior angles of an n-gon is 360 degrees. A dodecagon has 12 exterior angles which are all equal and so each is 360/12 = 30 degrees.

Each exterior angle = 360/12 = 30 degrees. Each interior angle = 180 - 30 =150 degrees.

Related questions

For the 12-sided polygon, each exterior angle is 30 degrees (360/12).

It is: 360/12 = 30 degrees

360/12 = 30 degrees

Interior Angle: 150 degrees (Interior Angle Sum: 1800) Exterior Angle: 30 degrees (Exterior Angle Sum: 360)

360/12 = 30 degrees

Sum of exterior angles of an n-gon is 360 degrees. A dodecagon has 12 exterior angles which are all equal and so each is 360/12 = 30 degrees.

Each exterior angle = 360/12 = 30 degrees. Each interior angle = 180 - 30 =150 degrees.

Each interior angle measures 150 degrees Each exterior angle measures 30 degrees

Each exterior angle is 30 degrees and each interior angle is 150 degrees

Each interior angle measures 144 degrees* * * * *No! The sum of the exterior angles of a polygon is always 360 degrees - no matter how many sides, So the extrior angle of a regular dodecagon is 360/12 = 30 degrees. Since the interior and exterior angles are supplementary, the interior angle is 180-30 = 150 degrees.

It will have 12 sides and it is a dodecagon

No: The sum of the exterior angles of a polygon is 360o. For a dodecagon (12 sides) the exterior angle is 360o / 12 = 30o. The interior and exterior angles are supplementary and so they sum to 180o; thus the interior angle of a dodecagon is 180o - 30o = 150o. For an interior angle of 144o, the exterior angle is 180o - 144o = 36o, so there are 360o / 36o = 10 sides (a decagon).