How big is each interior angle in a regular decagon? would this be 4.4 (144/10)?
How big is each exterior angle of a regular decagon?
Is this 36? (360/10)
Isnt there a theorem that the sum of the interior angles is
180(n-2), so then each interior angle of a regular n-gon would be\
180(n-2)/n
Each angle measures 144 degrees.
http://www.coolmath.com/reference/polygons.html
(Broken Link Removed)
To find the measure of each interior angle in a regular decagon, you need to divide the total sum of the interior angles by the number of sides. In a decagon, the sum of the interior angles is given by the formula (n - 2) * 180 degrees, where n is the number of sides.
In the case of a regular decagon, which has 10 sides, the sum of the interior angles would be (10 - 2) * 180 degrees = 8 * 180 degrees = 1440 degrees. To find the measure of each interior angle, you divide this sum by the number of sides in the decagon: 1440 degrees / 10 sides = 144 degrees.
Therefore, each interior angle in a regular decagon measures 144 degrees.
For the exterior angles, you can use the fact that the sum of interior and exterior angles at each vertex of a polygon is always 180 degrees. Since a decagon has 10 vertices, and the sum of the angles at each vertex is 180 degrees, the measure of each exterior angle would be equal to 180 degrees divided by the number of sides in the decagon.
So, the measure of each exterior angle in a regular decagon would be 180 degrees / 10 sides = 18 degrees.
Therefore, each exterior angle in a regular decagon measures 18 degrees, not 36 degrees.