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Each interior angle of a regular 12 sided dodecagon measures 150 degrees

Q: What is the mesure of one interior angle of a regular dodecagon?

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The sum of the interior angles of a dodecagon is:sum = (12 - 2) x 180o= 1800oIn a regular dodecagon, each of the interior angles is 1800o ÷ 12 = 150o

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

The measure of each interior angle of a dodecagon, which is a 12 sided regular polygon, is 150o. This is found in any polygon by multiplying 2 less than the number of sides by 180o and then dividing the product by the number of sides. A dodecagon interior angle is then 10 x 180o/12 = 150o.

If the interior angle is 150° then the exterior angle measures 180 -150 = 30°. The sum of the exterior angles of a regular or convex polygon = 360° The number of sides is therefore 360/30 = 12 sides The shape is a dodecagon.

The total interior angle of a 12 sided polygon is = (12 - 2) 180 degrees = 1800 degrees. The internal angle at each vertex of an regular dodecagon is equal to = = 150 degrees. While the exterior angle at a single vertex is = = 30 degrees. The total exterior angle of a 12 sided polygon is 360 degrees.

Related questions

Each interior angle is 150 degrees

It is 150 degrees.

144 degrees

The sum of the interior angles of a dodecagon is:sum = (12 - 2) x 180o= 1800oIn a regular dodecagon, each of the interior angles is 1800o ÷ 12 = 150o

108 degrees

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

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

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.

The interior angle of a dodecagon is not 1260 that is of a nonagon * * * * * The interior angle of a dodecagon can have any value in the range (0, 360). The only restriction is that the sum of all 12 interior angles (which need not be equal) is 1800 degrees.

Interior angles: (12-2)*180 = 1800 degrees Each interior angle: 1800/12 = 150 degrees

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

The measure of each interior angle of a dodecagon, which is a 12 sided regular polygon, is 150o. This is found in any polygon by multiplying 2 less than the number of sides by 180o and then dividing the product by the number of sides. A dodecagon interior angle is then 10 x 180o/12 = 150o.