The sum of the exterior angles of a polygon is 360 degrees.
If it is a regular polygon, then it has 360/4 = 90 vertices and so 90 sides.
If all of its exterior angles are 90 degrees then it will have 4 sides
To determine the number of sides in a polygon, you can use the formula for finding the measure of an exterior angle: 360 degrees divided by the number of sides. In this case, if the exterior angle is 22.5 degrees, you would divide 360 by 22.5 to get 16. Therefore, the polygon has 16 sides.
It is not.The sum of the exterior angles of EVERY polygon is 360 degrees, so the number of sides has no role.
By dividing the given exterior angle into 360 degrees tells you how many sides the polygon has.
The sum of the exterior angles of any polygon is always 360 degrees. To find the number of sides, you can divide 360 degrees by the measure of each exterior angle. In this case, 360 degrees ÷ 40 degrees = 9. Therefore, the polygon has 9 sides, making it a nonagon.
If it's a regular polygon and each exterior angle measures 72 degrees then it is a pentagon which has 5 sides
The sum of the exterior angles of a polygon with ANY number of sides, is 360 degrees.
4. All exterior angles add up to 360 on a polygon, regardless of the amount of sides.
The number of sides of such a polygon is 22. 11n = 180 degrees.
The sum of the exterior angles of any polygon is 360 degrees. If the polygon is regular then each exterior angle is 360 divided by the number of sides, so in this case each angle will be 10 degrees.
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.
Sum of exterior angles = 360 degrees (whatever the number of sides). So, if the polygon has n sides, 360/n = 12 so that n = 360/12 = 30 sides.