how is the possible of polygon
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130° is not possible for the interior angles of a regular polygon
Explanation:
If the interior angle is 130° then the exterior angle will be 50°
The sum of the exterior angles is always 360° and we can use this fact to find the number of sides.
360° ÷ 50° = 7.2 sides
The number of sides has to be a natural number, so 7.2 is not possible, therefore 130° is not possible for the angles of a regular polygon.
Also consider the interior angles of regular polygons.
Pentagon: = 108°
Hexagon: = 120°
Heptagon: = 128.57°
Octagon: = 135°
There is no polygon between one with 7 sides and one with 8 sides.
130° is not possible
Explanation:
If the interior angle is 130° then the exterior angle will be 50°
The sum of the exterior angles is always 360° and we can use this fact to find the number of sides.
360° ÷ 50° = 7.2 sides
The number of sides has to be a natural number, so 7.2 is not possible, therefore 130° is not possible for the angles of a regular polygon.
Also consider the interior angles of regular polygons.
Pentagon: = 108°
Hexagon: = 120°
Heptagon: = 128.57°
Octagon: = 135°
There is no polygon between one with 7 sides and one with 8 sides.
130° is not possible
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