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
A regular polygon with exterior angles of 30 degrees has: 360/30 = 12 sides
The exterior angles of any polygon add up to 360. 360/8 = 45
360, as it is for every regular polygon.
Even if it's not a regular polygon, the sum of the exterior angles will still total 360 degrees.
The sum of the exterior angles of any polygon is 360o.
The sum of the exterior angles of any polygon is 360 degrees.
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
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.
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).