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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)
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How do you calculate interior angles of a polygon?
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.
How do you calculate interior angles in polygons?
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.
How do you calculate the sum of interior angles of any polygon?
180n - 360 for any n-sided polygon (or 2n - 4 right angles)
What is a polygon with all interior angles congruent?
A polygon with all interior angles congruent Is known as a regular polygon.
What is a polygon with all interior angles called?
If all of its interior angles are equal then it is a regular polygon
