what is the degrees of a hexagon

Question

what is the degrees of a hexagon

Answer 1

The sum of the interior angles of a polygon is given by the formula (n-2)180, where n=# of sides.

For a hexagon, the sum of the interior angles is (6-2)180=4(180)=720º.

For a regular hexagon each angle is 720°/6=120°.

Answer 2

A convex hexagon has 6 exterior angles that add to 360° (in fact, EVERY convex polygon's exterior angles add to 360°):

 

e1+e2+e3+e4+e5+e6 = 360°.

 

Each exterior angle is supplementary to an interior angle:

 

i1 = 180°–e1, i2 = 180°–e2, i3 = 180°–e3, etc.

 

So the sum of interior angles is:

 

180°–e1 + 180°–e2 + 180°–e3 + 180°–e4 + 180°–e5 + 180°–e6 =

 

6(180°) – 360° = 6(180°) – 2(180°) = 4(180°) = 720°

Answer 3

A regular hexagon is a six-sized shape that holds six obtuse angles. Each of these angles in 120 degrees. Adding them all together produces 720 total degrees in a Hexagon.

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