Sum of interior angles = (n-2)*180 degrees = 1080 deg So (n-2) = 1080/180 = 6 => n = 8. The polygon is, therefore, an octagon. However, there is no reason to assume that the interior angles of this polygon are all the same - they could all be different with the only constraint being their sum. IF, and that is a big if, the polygon were regular, then all its angles would be equal and each interior angle = 1080/8 = 135 degrees.
The interior angles of an octagon add up to 1080 degrees
if it is a polygon then the total interior angles will equal 1080. so ear angle will be 135 degrees.
8
2 methods: a: Interior angle = 180 - Exterior angle. The exterior angles of a regular n-sided polygon are equal to 360/n degrees. In this case n = 8 so Exterior angles are 45 degrees, making the interior angles 145 degrees; b: Total of interior angles of n-sided polygon is (2n -4) right angles, or 180n - 360 degrees. When n = 8, total of angles is 180 x 8 - 360 or 1080 degrees and each angle is 1080/8 or 145 degrees.
Sum of exterior angles: 360 degrees Sum of interior angles: 1080 degrees Each exterior angle: 360/8 = 45 degrees Each interior angle: 1080/8 = 135 degrees
Total angles: (8-2)*180 = 1080 degrees Each interior angle: 1080/8 = 135 degrees
Sum of interior angles = (n-2)*180 degrees = 1080 deg So (n-2) = 1080/180 = 6 => n = 8. The polygon is, therefore, an octagon. However, there is no reason to assume that the interior angles of this polygon are all the same - they could all be different with the only constraint being their sum. IF, and that is a big if, the polygon were regular, then all its angles would be equal and each interior angle = 1080/8 = 135 degrees.
The interior angles of an octagon add up to 1080 degrees
An octagon has interior angles of 1080 degrees.
if it is a polygon then the total interior angles will equal 1080. so ear angle will be 135 degrees.
8
using the equation (A-2)180 Where A is the number of angles in a polygon with equivalent angles. (8-2)180 (6)180 1080 degrees total. 1080 / 8 = 135 degrees per angle. 1080 is the total degrees of all interior angles. 8 is the number of angles.
135 degrees
1080 degrees
2 methods: a: Interior angle = 180 - Exterior angle. The exterior angles of a regular n-sided polygon are equal to 360/n degrees. In this case n = 8 so Exterior angles are 45 degrees, making the interior angles 145 degrees; b: Total of interior angles of n-sided polygon is (2n -4) right angles, or 180n - 360 degrees. When n = 8, total of angles is 180 x 8 - 360 or 1080 degrees and each angle is 1080/8 or 145 degrees.
The interior angle measurement of an octogon is 1080 degrees. Each angle is 135 degrees.