A polygon with seven sides is called a heptagon. A heptagon has seven interior angles totaling 9000 and seven exterior angles totaling 3600
A polygon with 7 sides is a heptagon. (hept- = 7)
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Interior angles total ((2 x 7) - 4) right angles which is 900 degrees. Exterior angles total 360 degrees. This is true of all convex polygons.
Answer: 10 sidesInterior angle = (180 * (number_of_sides - 2)) / number_of_sides Interior angle = 180 * (10-2) / 10 = 180 * 8 / 10 = 144Exterior angle = 360 / number_of_sides = 360 / 10 = 36 degreesRatio (144:36 = 4:1)Definitions:The exterior angle (e) is the angle created from the side and the imaginary line that would be if the adjacent side were to be extended beyond the vertices. The interior angle (i) plus the exterior angle (e) add up to 180 degrees, so i + e = 180. In a normal polygon, the sum of the exterior angle of all vertices adds up to 360 degrees; the sides do not overlap or cross. In a regular polygon each external angle is the same, and will divide evenly into 360 degrees to give the number of sides (n): 360 / e = n.Proof:Given that the ratio of the two angles is 4 to 1: i = 4e. Now substitute: i + e = 180; 4e + e = 5e = 180.e = 180 / 5 = 36 degrees.i = 180 - e = 144 degrees.360/e = 360/36 = 10 sides.The interior angle of a regular normal polygon of n sides is: i = (n-2)*180/n.For n=10: i = (10-2)*180/10 = 8*18 = 144 degrees, so it checks.Other i to e ratios:1 to 2: 3 sides: triangle (trigon) 2 to 2: 4 sides: tetrahedron (tetragon, square)3 to 2: 5 sides: pentahedron (pentagon)4 to 2: 6 sides: hexahedron (hexagon)5 to 2: 7 sides: heptahedron6 to 2: 8 sides: octahedron (octagon)7 to 2: 9 sides: enneahedron (nonogon)8 to 2: 10 sides: decahedron (decagon)
The sum of the exterior angles of a convex polygon which has sides and one angle at each vertex is 360 degrees.
7 It is not possible for a regular polygon to have exterior angles of 180 degrees or less in plane geometry
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A polygon with seven sides is called a heptagon. A heptagon has seven interior angles totaling 9000 and seven exterior angles totaling 3600
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.
exterior angle = 36, so interior angle = 144 180(n-2) = 144 x n 180n - 360 = 144n 180n - 144n = 360 36n = 360 36n/36 = 360/36 n = 10 Thus, there are 10 sides to the polygon and it is a decagon.
a 7 sided polygon is heptagon and the interior angle of it is 128.57 degrees.
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The sum of the exterior angles of every polygon is 360 degrees.
The easiest way to calculate this is to calculate the exterior angle and use the fact that the exterior and interior angles are supplementary. Sum exterior angles = 360° → Each exterior angle of a regular 28-agon is 360° ÷ 28 → Each interior angle of a regular 28-agon = 180° - 360° ÷ 28 = 167 1/7° ≈ 167.14°
Suppose the polygon has n sides. The polygon is regular => each of its exterior angles is equal.The sum of all n angles = 360 deg so each angle is 360/n deg Therefore 360/n = 40 => n = 9 sides. Then perimeter = 9 * length of one side = 63 ft. So each side is 63/9 = 7 ft.
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