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The sum of the exterior angles of any polygon is 360 degrees. this is true whether the figure is regular or irregular, and irrespective of how many sides/vertices it has. For a regular nonagon, the 9 equal external angles sum to 360 degrees and so each measures 360/9 = 40 degrees.
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What is the size of each exterior angle of a regular nonagon a 9 sided shape?
360/9 = 40 degrees
What is the size of one interior angle in a regular octagon?
135 degrees and its exterior angle is 45 degrees
What is the size of each interior angle of a regular polygon with 28 sides?
The easiest way to calculate this is to calculate the exterior angle and use the fact that the exterior and interior angles are supplementary. Sum exterior angles = 360° → Each exterior angle of a regular 28-agon is 360° ÷ 28 → Each interior angle of a regular 28-agon = 180° - 360° ÷ 28 = 167 1/7° ≈ 167.14°
Calculate the size of the exterior angle of a regular hexagon?
interior = 720/6 = 120 so exterior = 180 - 120 = 60 degrees
A regular polygon has 32 sides calculate the size of each interior angle?
The exterior angle is 360/32 = 11.25 Therefore the interior angle is 180 - 11.25 = 168.75
