The formula for calculating the TOTAL of the interior angles of an n-sided polygon is:
Angle Sum = 180 (n-2) degrees
So for a regular polygon, each of the identical interior angles will be 180(n-2)/n
e.g.
triangle 180 (3-2) / 3 = 60
square 180 (4-2) / 4 = 90
pentagon 180 (5-2) / 5 = 108
heptagon 180 (7-2) / 7 = 128.57 (128 4/7)
Chat with our AI personalities
hmm * * * * * The sum of the interior angles of an n-sided polygon is 180*(n-2) degrees. IF the polygon is equiangular, then each angles is the above sum divided by n.
You cannot calculate interior angles in a polygon. You can only calculate their sum. The sum of all the interior angles of an n-sided polygon is (n-2)*180 degrees. So for example, the interior angles of a triangle (n = 3) sum to 180 degrees. But the individual angles can be (1,1,178), or (30,60,90) or infinitely many other combinations.
180n - 360 for any n-sided polygon (or 2n - 4 right angles)
A polygon with all interior angles congruent Is known as a regular polygon.
If all of its interior angles are equal then it is a regular polygon