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DevinThe interior angles of an 8 sided octagon add up to 1080 degrees
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What polygon has interior angles that measure 1080 degrees?
The interior angles of an octagon add up to 1080 degrees
If the sum of the interior angles of a polygon equals 1080 degree's what is the measure of each interior angle of the polygon?
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.
How many degrees does a 8 sided shape have?
if it is a polygon then the total interior angles will equal 1080. so ear angle will be 135 degrees.
If the sum of interior angle measures of a polygon is 1080 how many sides does the polygon have?
8
How do you find the interior angle of a regular octagon?
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.
