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External angles would total 360 degrees; internal angles would total 14,400 degrees.
The measure of a single internal angle of any regular polygon is equal to 180 (n - 2) / n. Therefore, an internal angle of a regular icosikaiheptagon (27-sided polygon) is equal to 13.3 recurring, or 13 and one third, degrees. It thereby follows that a measure of the external angle of the same polygon is equal to 180 - 13 and one third = 166.6 recurring, or 166 and two thirds, degrees.
If the interior angle is 120° then the external angle is 180 - 120 = 60° Number of sides = 360 ÷ 60 = 6. The polygon is a Hexagon.
The exterior angles of any polygon add up to 360° (imagine walking round any polygon - you will have made a complete turn). There are six external angles in a hexagon. If it is a regular hexagon, each external angle will be 360°/6 = 60°.
The octagon. The rule is that as the number of sides of a regular polygon increases then the external angle decreases while the interior angle increases The summation of the interior and external angleof one vertex is 180o.