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.
Wiki User
∙ 14y agoInterior 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).
Exterior angle: 12 degrees Interior angle: 168 degrees
Exterior angle: 24 degrees Interior angle: 156 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
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).
an octagon (8-sided)
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.
Interior angle = 3 x exterior angle. Hence Int Ang + Ext Ang = 180 Substituting 3 x Ext + Ext = 180 4 Ext = 180 Ext Angle = 180 / 4 = 45 degrees. And Exterior Ang;e = 360 / number of sides. number of sides = 360/ exterior angle No. of sides = 360/45 = 8 Hence the number of sides of the polygon is '8' . It is named as an OCTAGON.
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