Why are the exterior angles of a polygon 360?
Similarly, you may ask, do all polygons exterior angles add up to 360?
The sum of exterior angles in a polygon is always equal to 360 degrees. Therefore, for all equiangular polygons, the measure of one exterior angle is equal to 360 divided by the number of sides in the polygon.
Additionally, do all polygons add up to 360? Remember that all of the sides of regular polygon and all of its angles are equal. Memorise the rule that an interior angle and its corresponding angle add up to 180°, and that all of the exterior angles of a polygon add up to 360°.
Herein, what is the exterior angle sum of a polygon?
The sum of the measures of the exterior angles of a polygon, one at each vertex, is 360°.
What is the formula for exterior angles?
To find the value of a given exterior angle of a regular polygon, simply divide 360 by the number of sides or angles that the polygon has. For example, an eight-sided regular polygon, an octagon, has exterior angles that are 45 degrees each, because 360/8 = 45.