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What is the sum of all the angles of a hexagon?
A hexagon is a regular polygon with six equal sides. A regular hexagon has 6 exterior angles of 60o and 6 interior angles of 120o Therefore the total sum of all the angles of a regular hexagon = (6*60)+(6*120) = 1080 degrees. A hexagon need not be regular, so its angles need not all be the same. But the sum is correct because the sum of each exterior angle with its corresponding interior angle will always be 180o and 6*180o = 1080o.
What is the sum of the internal angles of a triacontakaihexagon?
The sum of the internal angles of any regular polygon is (n - 2) x 180 degrees. Since a triacontakaihexagon has 36 sides, the sum of the internal angles of a triacontakaihexagon has a sum of internal angles of (36 - 2) x 180 = 6120 degrees.
Why is 720 the answer for sum of angles of a hexagon?
The sum of the interior angles of a polygon with n sides can be shown to be (n-2)*180 degrees. For a hexagon, n = 6 so sum of interior angles = (6-2)*180 = 4*180 = 720 degrees.
What is the sum of the exterior angle of a hexagon?
The sum of the exterior angles of all polygons is 360 degrees.
Measurement of exterior angles of a hexagon?
The total sum of exterior angles of any polygon is 360 degrees. So if it is a regular hexagon it would have 6 exterior angles of 60 degrees.
