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What shape has 150 in each interior angle?

Anonymous

∙ 15y ago

Updated: 4/28/2022

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.

Wiki User

∙ 15y ago

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Q: What shape has 150 in each interior angle?

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Continue Learning about Geometry

What is the measure of an interior angle of a regular dodecagon?

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

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

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

What are the interior angles of a 12 sided shape?

The equation for and interior angle of an n sided shape is (n-2)180/n In this case we have a 12 sided shape. Plugging n=12 into the equation gives us: (12-2)180/12 = 10x180/12 = 150 Thus an interior angle of a 12 sided shape would be 150 degrees.

What is the interior angle of a 12- sided shape?

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.

What is the number of sides of a regular polygon with each interior angle equal to 150 degrees?

It is a 12-sided polygon, a dodecagon.The exterior angle for a polygon of n sides is 360/n.Each of the interior angles are supplementary angles (180-exterior angle).(180-150) n = 36030n = 360n = 12

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