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How many sides does a regular polygon have if its exterior angles are 10 degrees each?
The exterior angle is defined as the supplement to the interior angle. Intuitively it should be the whole of the exterior part of the angle - that is, 360 deg minus the interior angle.
As a result of this definition, the question of reflex angles does not arise. Also, the sum of all the exterior angles of a polygon is 360 deg so if each one is 10 degrees, there must be 360/10 = 36 angles and so 36 sides.
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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 measure of an exterior angle of a twelve sided polygon?
If the 12-sided polygon is 'regular', then each of its exterior angles is 30 degrees. Whether the polygon is regular or not, all 12 of its exterior angles still add up to 360 degrees, but they may not all be equal.
What is the Sum of the exterior angles of a seven sided polygon?
The sum of the exterior angles of any n-sided regular polygon, including a seven-sided polygon, is 360 degrees.
If a regular polygon has exterior angles that measure 72 degrees how many sides does the polygon have?
5 sides and it is a regular pentagon
How many sides does a regular polygon have that has an angle of 18 degrees?
If those are exterior angles, the exterior angles of any polygon add up to 360. That would be 20 sides.
How many sides does a regular polygon have if its exterior angles are 30 degrees?
A regular polygon with exterior angles of 30 degrees has: 360/30 = 12 sides
If the exterior angle of a regular polygon is 108 degrees how many sides does the polygon have?
That's true if the interior angles are 108 degrees, but a regular polygon cannot have exterior angles of 108 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 exterior angles of this regular hexagon?
The sum of the exterior angles of any polygon is 360 degrees.
What is the exterior angle of a 9 sided polygon?
If its a regular 9 sided polygon then the exterior angles are 40 degrees.
What is the sum of the exterior angles of a hexagon if it is not a polygon?
Even if it's not a regular polygon, the sum of the exterior angles will still total 360 degrees.
What is the measure ofr a regular polygon with an exterior angle of 18.95?
There can be no such polygon. The sum of the exterior angles of ANY polygon is 360 degrees. If it is a regular polygon, then the number of angles MUST divide 360 degrees. Since 18.95 does not divide 360, there cannot be such a polygon. If the exterior angle was 18.94737... degrees, it would be a 19-sided polygon.
How many sides does a regular polygon have with an exterior angle measure of 1?
A regular polygon will have 360 sides with exterior angles of 181 degrees.
What are the exterior angles of a 5 sided polygon?
The sum of the exterior angles of a n-gon is 360 degrees, whatever the vaue of n. If the polygon is regular, these exterior angles have the same measure, so each is 360/n degrees. So a regular pentagon has exterior angles of 360/5 = 72 degrees.
What is the measure of an exterior angle of a twelve sided polygon?
If the 12-sided polygon is 'regular', then each of its exterior angles is 30 degrees. Whether the polygon is regular or not, all 12 of its exterior angles still add up to 360 degrees, but they may not all be equal.
What is the sum of the measures of the exterior angles of a regular polygon with 10 sides?
The exterior angles add up to 360 degrees
What is the sum of exterior angles of a regular decagon?
The exterior angles of any polygon always add up to 360 degrees
