Sum of interior angles = (p-2)*180 degrees
Sum of exterior angles = 360 degrees
You can go further than that only if the polygon is regular. In that case, all the interior angles are equal and each one is (p-2)*180/p degrees;
and all the exterior angles are equal and each is 360/p degrees.
Interior angle: 135 degrees Exterior angle: 45 degrees
an octagon (8-sided)
If an interior angle is 55 deg, the corresponding exterior angle is 125 deg. This has nothing to do with the number of sides of the polygon (unless it is a regular polygon).
In a regular 10-sided polygon, each interior angle measures 144 degrees. This can be calculated using the formula: (n-2) x 180 / n, where n is the number of sides. The exterior angle of a regular polygon is always supplementary to the interior angle and can be calculated by subtracting the interior angle from 180 degrees. Therefore, the exterior angle of a regular 10-sided polygon would be 36 degrees.
Exterior angle: 12 degrees Interior angle: 168 degrees
Exterior = 36 degrees Interior = 144 degrees
Remember the two equations. Exterior angle = 360 / no. of sides. Interior angle = 180 - exterior angle. So for 102 sided polygon. exterior angle = 360/102 = 3.5294... Interior angle = 180 - 3.5294... = 176.4706.... Hence sum of the 102 sided polygon's angles is 102 X 176.4706 = 18,000 degrees. ( to nearest degree).
Interior angle: 135 degrees Exterior angle: 45 degrees
an octagon (8-sided)
If an interior angle is 55 deg, the corresponding exterior angle is 125 deg. This has nothing to do with the number of sides of the polygon (unless it is a regular polygon).
In a regular 10-sided polygon, each interior angle measures 144 degrees. This can be calculated using the formula: (n-2) x 180 / n, where n is the number of sides. The exterior angle of a regular polygon is always supplementary to the interior angle and can be calculated by subtracting the interior angle from 180 degrees. Therefore, the exterior angle of a regular 10-sided polygon would be 36 degrees.
Assuming it is an 80 sided REGULAR polygon, each exterior angle is 360/80 degrees = 4.5 degrees. So each interior angle = 180 - 4.5 = 175.5 degrees.
exterior angle = 360° ÷ 20 sides = 18° interior angle = 180° - exterior angle = 180° - 18° = 162°
Exterior angle: 12 degrees Interior angle: 168 degrees
Exterior angle: 24 degrees Interior angle: 156 degrees
The total interior angle of a 12 sided polygon is = (12 - 2) 180 degrees = 1800 degrees. The internal angle at each vertex of an regular dodecagon is equal to = = 150 degrees. While the exterior angle at a single vertex is = = 30 degrees. The total exterior angle of a 12 sided polygon is 360 degrees.
The interior angle of a regular polygon with x sides is 180(x-2)/x. As a result, each angle of a regular 50-sided polygon is 172.8. The exterior angles are 7.2