To calculate the number of sides of a regular polygon, we can use the formula:
Number of sides (n) = 360° / Exterior angle
Let's find the number of sides for each given exterior angle:
a = 9°: n_a = 360° / 9° = 40 sides b = 30°: n_b = 360° / 30° = 12 sides c = 24°: n_c = 360° / 24° = 15 sides d = 22.5°: n_d = 360° / 22.5° = 16 sides
So, the number of sides for each given exterior angle are: a = 40 sides b = 12 sides c = 15 sides d = 16 sides
The sum of the exterior angles of any regular polygon is 360°
There is no such thing as an exterior polygon. "Exterior" means outer. Polygons can have exterior angles, but that is about it!A regular polygon can have 3 or more sides - up to infinitely many.There is no such thing as an exterior polygon. "Exterior" means outer. Polygons can have exterior angles, but that is about it!A regular polygon can have 3 or more sides - up to infinitely many.There is no such thing as an exterior polygon. "Exterior" means outer. Polygons can have exterior angles, but that is about it!A regular polygon can have 3 or more sides - up to infinitely many.There is no such thing as an exterior polygon. "Exterior" means outer. Polygons can have exterior angles, but that is about it!A regular polygon can have 3 or more sides - up to infinitely many.
A Regular Polygon
The exterior angles of any polygon add up to 360. 360/8 = 45
A regular polygon with exterior angles of 30 degrees has: 360/30 = 12 sides
360, as it is for every regular polygon.
The exterior angles of any polygon add up to 360 degees so if it's a regular polygon each exterior angle is 360/number of sides. Or 180 -interior angle = exterior angle because angles on a straight line add up to 180 degrees.
Even if it's not a regular polygon, the sum of the exterior angles will still total 360 degrees.
There is no term to calculate any angle of any irregular polygon. For a regular polygon with n sides, each exterior angle is 360/n degrees. Each interior angle is (180 - exterior angle).
The sum of the exterior angles of any polygon is 360 degrees.
The sum of the exterior angles of any polygon is 360o.
360 ________________________________________________ Sum of Interior Angles of a Polygon = 180 (n-2) Sum of Exterior Angles of a Polygon = 360 The sum of an angle and an exterior angle of a regular polygon is 360