The sum of the exterior angles of a 2D planar polygon is always 360 degrees.
360/number of sides 180 times the number of sides the polygon has then minus 360. This gives the total sum of the exterior angles. Then to get the angle of one exterior angle divide it by the number of sides the polygon has.Very easy when you know the formula!
No matter how many sides a convex polygon has, the sum of its exterior angles is 360°.
When a polygon is regular, each exterior angle is equal to the other exterior angles. Since the sum of all the exterior angles is 360 degrees, if you divide 360 by the measure of one exterior angle, you will get the number of sides. If you instead have the measure of an interior angle, simply calculate (180 - interior angle measure) to find the measure of the exterior angle, and use the above paragraph.
If it's a regular polygon: 360/number of sides = each exterior angle
The sum total of all exterior angles of any polygon is 360 degrees. So if you're given thevalue of one exterior angle AND THE POLYGON IS REGULAR(all exterior angles are thesame size), all you have to do is divide the size of one angle into 360, and the quotientis the number of sides.
360/number of sides 180 times the number of sides the polygon has then minus 360. This gives the total sum of the exterior angles. Then to get the angle of one exterior angle divide it by the number of sides the polygon has.Very easy when you know the formula!
The sum of the exterior angles of an n-gon is 360 degrees, however many sides it has.
No matter how many sides a convex polygon has, the sum of its exterior angles is 360°.
The exterior angle sum of ANY plane polygon (ie 2-dimensional figure with straight sides) is 360 degrees.
If the exterior angle is 30o then the shape has 360/30 = 12 sides. An interior angle = 180 - exterior angle = 180 - 30 = 150. Since the shape has 12 sides the interior angles sum to 150 x 12 = 1800o.
The sum of the exterior angles of a convex polygon which has sides and one angle at each vertex is 360 degrees.
When a polygon is regular, each exterior angle is equal to the other exterior angles. Since the sum of all the exterior angles is 360 degrees, if you divide 360 by the measure of one exterior angle, you will get the number of sides. If you instead have the measure of an interior angle, simply calculate (180 - interior angle measure) to find the measure of the exterior angle, and use the above paragraph.
The exterior angle sum is 360 degrees. It doesn't matter whether the polygon is regular or not, and it doesn't even matter how many sides it has.
If it's a regular polygon: 360/number of sides = each exterior angle
360 degrees
The sum total of all exterior angles of any polygon is 360 degrees. So if you're given thevalue of one exterior angle AND THE POLYGON IS REGULAR(all exterior angles are thesame size), all you have to do is divide the size of one angle into 360, and the quotientis the number of sides.
The sum of the exterior angles of a polygon is 360o. Dividing 360o by the size of the exterior angle gives the number of sides. If the interior angle is 144o, the exterior angle is 180o - 144o = 36o. Number of sides = 360o / 36o = 10 (a decagon).