The general rule states that the sum of interior angles in a regular octagon is equal to (n – 2) × 180°. This means that each angle in a regular octagon has an equal measure, with the sum of interior angles being 1080°. In a regular octagon, the interior angle at each vertex is 135°, and the central angle is 45°. The area of a regular octagon is approximately 4.828427 × s2, and its width is also 1+√2.
A regular octagon has eight equal sides and eight equal angles, with all sides being of equal length and all angles having equal measure. The sum of interior angles is 1080°, and the sum of exterior angles is 360∘. Therefore, each interior angle of a regular octagon should be equal to 135°.
To verify this, one can check that all the exterior angles will total to 360. If the statement is true, then the measure of each interior angle of a regular octagon is 135°, as all interior angles have the same measure of 135 degrees. This helps in understanding the relationship between the sum of interior angles and the sum of exterior angles in a regular octagon.
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