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If the exterior angle of a regular polygon equals 36 degrees what shape is the polygon?
It is a regular 10 sided decagon
If the exterior angle of a regular polygon equals 72 degrees what is the shape of the polygon?
The sum of all exterior angles of a polygon is 360 degrees. In a regular polygon, all of the exterior angle are equal, so there must be 360/72=5 sides of the polygon, which makes it a pentagon.
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.
If the sum of the interior angles of a polygon equals the sum of the exterior angles what is the name of the polygon?
A Regular Polygon
If the exterior angle of a regular polygon equals seventy-two degrees what is the polygon?
The sum of the exterior angles is 360. So we have 360/n= 72 or 72n=360 from which we see n=360/72=5 So it is a pentagon! Dr. Chuck
If the exterior angle of a regular polygon equals 90 degrees what shape is the polygon?
square
What exterior angle of a regular polygon equals 90 degrees?
A square.
If the exterior angle of a regular polygon equals 36 degrees what shape is the polygon?
It is a regular 10 sided decagon
If the exterior angle of a regular polygon equals 72 degrees what is the shape of the polygon?
The sum of all exterior angles of a polygon is 360 degrees. In a regular polygon, all of the exterior angle are equal, so there must be 360/72=5 sides of the polygon, which makes it a pentagon.
If the exterior angle of a regular polygon equals 90 degrees then the polygon is a?
Square, or a rectangle. * * * * * Since it is a REGULAR polygon, it cannot be a rectangle. So the only answer is a square.
How many sides does a regular polygon have if the measures of each exterior angle equals 12 degrees?
The regular polygon whose exterior angle measure is 12 degrees, has 30 sides (360/12, since the exterior angles on any polygon always add up to 360 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 If the exterior angle of a polygon measure 12 degrees how many sides does the polygon have?
If it is a regular polygon then it will have 360/12 equals 30 sides
What is a regular polygon called if one exterior angle equals 40 degrees?
A nine sided shape that is called a regular nonagon.
How many sides does a regular polygon have if each exterior angle measures 30 degrees?
The number of sides in a regular polygon can be determined by dividing 360 degrees (the sum of all exterior angles in any polygon) by the measure of each exterior angle. In this case, if each exterior angle measures 30 degrees, the polygon will have 12 sides.
If the exterior angle of a regular polygon equals 24 degrees how many sides does it have?
It will have 360/24 = 15 sides
How can you prove that the sum of exterior angles of a polygon is 360 degrees?
With any regular polygon it is 180 minus interior angle times number of sides equals 360 degrees
