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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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Q: How do you calculate the interior angles of a polygon?
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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.


Calculate the number of sides of a regular polygon whose interior angles are each 165 degrees?

14 sides in the polygon


What is a polygon with all interior angles called?

If all of its interior angles are equal then it is a regular polygon


What is the sum of the interior angle measures of a polygon?

(number of sides-2)*180 = total sum of interior angles


How do you calculate interior angles of a polygon with 17 sides?

(17-2)*180 = 2700 degrees


Sum of interiuor angles?

The sum of the interior angles of any polygon can be determined by using the formula (n-2)180, where n=the number of sides of that polygon. For example, you can calculate the sum of the interior angles of a polygon with five sides (a pentagon): (n-2)180 (5-2)180 3x180 540 So, the sum of the interior angles of a pentagon is 540.


How do you calculate the angle sum of a 9-side polygon?

The formula for calculating the interior angles for any polygon is:- (number of sides -2)*180 = sum of interior angles So: (9 -2)*180 = 1260 degrees


How many sides does a polygon have with angles of 12 degrees?

Any polygon can have two interior angles of 12 degrees. No polygon can have all its interior angles of 12 degrees.


A polygon has interior angles that add up to 360?

Yes. The interior angles of a polygon add up to 360°.