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How many sides does a regular polygon have if each exterior angle measures 60 degrees?
The sum of the exterior angles of a polygon is 360°
If they are all the same (as the figure is regular) then:
360° = number_of_side × exterior_angle
→ number_of_sides = 360° ÷ exterior_angle
And each is 60°, then
number_of_sides = 360° ÷ 60° = 6
The polygon has 6 sides - it is a hexagon.
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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.
One exterior angle of a regular polygon measures 30 degrees what is the sum of the polygon's interior angle measures?
1800 degrees
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
What is the exterior angle of a regular 24 sided polygon?
Each exterior angle measures 15 degrees
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.
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.
One exterior angle of a regular polygon measures 30 degrees what is the sum of the polygon's interior angle measures?
1800 degrees
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?
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
If an exterior angle of a regular polygon measures 45 degrees how many sides does the polygon have?
8 and it is called a regular octagon
What is the exterior angle of a regular 24 sided polygon?
Each exterior angle measures 15 degrees
What is an exterior angle of a regular 10 sided polygon?
Each exterior angle measures 36 degrees
In the exterior side how many degrees are there in a regular 12 sided polygon?
Each exterior angle of a regular 12-gon measures 30 degrees.
What is the sum of the measures of the interior angles of a regular polygon if each exterior angle measures 72 degrees?
540 degrees
What is the sum of the measures of the exterior angle of a regular polygon with n sides?
The exterior angles of any polygon add up to 360 degrees.
