What Is The Measure,In Degrees, Of Each Exterior Angle Of A Regular Hexagon ?
The exterior angles of a polygon always add up to 360 degrees.
If you have a regular hexagon, it will have 6 sides.
360/6 = 60°
To find the measure of each exterior angle of a regular hexagon, we can start by understanding the properties of a regular hexagon.
A regular hexagon has six equal sides and six equal interior angles. Since the sum of the interior angles of any polygon is given by the formula (n-2) * 180 degrees, where n is the number of sides, we can calculate the measure of each interior angle of a regular hexagon.
In this case, a regular hexagon has six sides, so we can substitute n = 6 into the formula: (6-2) * 180 = 4 * 180 = 720 degrees. This means that each interior angle of a regular hexagon measures 720 degrees divided by 6, which is equal to 120 degrees.
Now, to find the measure of each exterior angle of the hexagon, we can use the fact that the sum of an interior angle and an exterior angle of a polygon is always 180 degrees.
So, an exterior angle of a regular hexagon is equal to 180 degrees minus the corresponding interior angle. Therefore, an exterior angle of a regular hexagon measures 180 degrees - 120 degrees = 60 degrees.
Therefore, the measure, in degrees, of each exterior angle of a regular hexagon is 60 degrees.