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Is there a regular polygon such that each exterior angle measures 75 explain?

Anonymous

∙ 9y ago

Updated: 4/28/2022

No because 360/75 = 4.8 which means it's impossible for it to be a regular polygon with equal sides.

Wiki User

∙ 9y ago

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Continue Learning about Geometry

What is the sum of the measures of the interior angles of the regular polygon if each exterior measures 120?

Hint: in a regular polygon interior plus exterior = 180o, always.

How many sides would a regular polygon have if one of its exterior angles measures 51 degrees?

How many sides does a regular polygon have if each exterior angle measures 20?

What is the sum of the measures of the exterior angles of a regular polygon with ten sides?

The sum of the measures of the exterior angles of any polygon, regular or irregular, is always 360 degrees. In a regular polygon with ten sides, each exterior angle measures 360 degrees divided by the number of sides, which in this case is 36 degrees. Therefore, the sum of the measures of the exterior angles of a regular decagon is 10 multiplied by 36 degrees, which equals 360 degrees.

Each exterior angle of a regular polygon measures 20 How many sides does the polygon have?

18

Each exterior angle of a regular polygon measures 30 How many sides does the polygon have?

12

Related Questions

What is the sum of the measures of the interior angles of the regular polygon if each exterior measures 120?

Hint: in a regular polygon interior plus exterior = 180o, always.

What is the sum of the measures of the exterior angles of a regular polygon if each exterior angle measures 120?

360 degrees and the polygon is an equilateral triangle.

How many sides would a regular polygon have if one of its exterior angles measures 51 degrees?

How many sides does a regular polygon have if each exterior angle measures 20?

What is the sum of the measures of the exterior angles of a regular polygon with ten sides?

The sum of the measures of the exterior angles of any polygon, regular or irregular, is always 360 degrees. In a regular polygon with ten sides, each exterior angle measures 360 degrees divided by the number of sides, which in this case is 36 degrees. Therefore, the sum of the measures of the exterior angles of a regular decagon is 10 multiplied by 36 degrees, which equals 360 degrees.

How many sides would a regular polygon have if each exterior angle measures 8 degrees?

The sum of the exterior angles of a regular polygon = 360° If an exterior angle measures 8° then the number of sides = 360/8 = 45

What are the measures of the exterior angles of a regular polygon that has 10 sides?

36

One exterior angle of a regular polygon measures 36 What is the sum of the polygon's interior angle measures?

1440 degrees

One exterior angle of a regular polygon measures 36. What is the sum of the polygon's interior angle measures?

1440 degrees

Each exterior angle of a regular polygon measures 30 How many sides does the polygon have?

12

Each exterior angle of a regular polygon measures 20 How many sides does the polygon have?

18

Each exterior angle of a regular polygon measures 45 How many sides does the polygon have?

8

Each exterior angle of a regular polygon measures 72 How many sides does the polygon have?

5

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