To find the the measure of an angle of a regular polygon, subtract two from the number of sides of the polygon and multiply by 180 then divide this answer by the number of sides. The equation is ((n-2) x 180)/n, where n is the number of sides. In the case of an octagon, it's ((8-2) x 180)/8, which equals 135.
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Each interior angle of an octagon has an angle of 135 degrees.
The sum of the interior angles of an octagon is equal to 1080 degrees.
135 degrees * * * * * But only if it is a REGULAR octagon. And there is no reason why that should be the case.
The 8 interior angles of an octagon add up to 1080 degrees The 8 exterior angles of an octagon add up to 360 degrees
The sum of the interior angles of an octagon is (8-2)*180 = 1080 degrees.