SOLUTION: find the measure of an interior angle of a regular tridecagon

Algebra ->  Polygons -> SOLUTION: find the measure of an interior angle of a regular tridecagon      Log On


   



Question 1012037: find the measure of an interior angle of a regular tridecagon
Answer by ValorousDawn(53) About Me  (Show Source):
You can put this solution on YOUR website!
Recall that the sum of the angles of a n-gon is 180%28n-2%29. Plug in the case of n=13 to get 180%2A11 for the angular sum of 1980.
Since it is regular, each of the angles are equivalent. If they are all equivalent, then the value of one is the sum divided by the number of angles, or 1980%2F13
The angles are roughly 152.307692 or 1524%2F13, as 1980 divided by 13 is already simplified