If a regular polygon has n sides, then the number of triangles in that polygon is n - 2. thus, the sum of its interior angles is equal to (n - 2)180°.
To find the sum of the interior angles of any polygon, you can use the formula (n-2) * 180 degrees, where n is the number of sides. For a 39-sided polygon, the sum of the interior angles would be (39-2) * 180 = 37 * 180 = 6660 degrees. Since all the interior angles of a polygon are equal, you can divide the total sum by the number of angles to find the measure of each interior angle. In this case, each interior angle of a 39-sided polygon would measure 6660 / 39 = 170.77 degrees.
Use the formula below to calculate the sum of the interior angles of any polygon with n-number of sides: n * (180o) - 360o or (n-2) * 180o And to find the measurement of each interior angle divide this number by the number of sides of the polygon. So for a 20-sided polygon, the sum of the interior angles would be: 20*180o - 3600 = 3240o or (20-2) * 180o = 3240o And each interior angle would measure 3240o/20 or 162o == ==
To figure that out you must divide: 360 degrees / 54 = 6.67 degrees or 6 2/3 degrees
To find the sum of the interior angles of a polygon, we can use the formula (n-2) * 180 degrees, where n is the number of sides. So, for a 36-sided polygon, the sum of the interior angles would be (36-2) * 180 = 6,480 degrees. To find the measure of each interior angle, we divide the sum by the number of sides, so each interior angle of a 36-sided polygon would measure 6,480 degrees / 36 = 180 degrees.
A regular polygon has sides of equal length, as well as interior angles of equal measure. But for any regular polygon, the sum of the measures of the exterior angles is 360 degrees. You can use this information to find out the measure of an interior angle, because the sum of the measures of each interior/exterior pair of angles is always 180 degrees. So to find the answer to this problem, divide 360 by 7. Each exterior angle is about 51.4 degrees. Subtract that number from 180. Each interior angle is about 128.6 degrees.
The sum of the interior angles of a triangle is 180 deg. For a convex polygon with n sides we can divide it to n-2 triangles. So the answer, if the polygon is convex, is (13-2)*180= 1980 deg * * * * * The polygon need not be convex. The formula for the sum of the interior angles is valid as long as the polygon is simple - that it, its sides do not cross each other inside the polygon.
If you select one vertex of a heptagon and draw diagonals to all other vertices, you will divide the heptagon into 5 triangles such that the interior angles of the heptagon add up to the same sum as the interior angles of the five triangles.Now the sum of the interior angles of one triangle is 180 degrees. So for 5 triangles you get 5*180 = 900 degrees.In general, the interior angles of a polygon with n vertices is (n - 2)*180 degrees.
The sum of the interior angles of a 17 sided polygon add up to 2700 degrees.
The sum of the interior angles of any regular polygon of n sides is equal to 180(n - 2) degrees. To find an individual angle, divide that number by n.
You use the fact that the sum of the interior angles of a regular polygon with n sides is:180(n-2) degreesNow you have the sum of measures of all the interior angles so divide that by n and you have the measure of each interior angle.
The interior angle is the angle formed from two sides of a nth-sided polygon. Because the polygon is regular, all angles formed from any two sides of the polygon are equal. It can be proven, but I won't attempt to, that to find the amount of sides, you use 180-[interior angle], and divide the answer by 360. In this case, 180-156=24, 360/24= 15, thus the polygon has 15 sides. One way to prove it is to imagine the polygon and divide it into isosceles triangles. But I won't go there.
The 14 interior angles add up to 2160 degrees
In general, you divide up the polygon into triangles, calculate the areas of the triangles and then sum these.
The sum of the interior angles of any regular polygon of n sides is equal to 180(n - 2) degrees. Divide that by the number of sides.
To find the sum of the interior angles of any polygon, you can use the formula (n-2) * 180 degrees, where n is the number of sides. For a 39-sided polygon, the sum of the interior angles would be (39-2) * 180 = 37 * 180 = 6660 degrees. Since all the interior angles of a polygon are equal, you can divide the total sum by the number of angles to find the measure of each interior angle. In this case, each interior angle of a 39-sided polygon would measure 6660 / 39 = 170.77 degrees.
Type your answer here... The sum of the angles in all polygons is 360 degrees. Thus, if you know the measure of the interior angles you can divide 360 by the measurement to find out how many interior angles and sides there are.
Divide the polygon into triangles. Calculate the areas of the triangles and then sum these.