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2006-11-30 09:19:35 · 7 answers · asked by esalina14 2 in Science & Mathematics Mathematics

7 answers

An easy way to do this is to remember that the *exterior angles* of a polygon always add up to 360°.

So one exterior angle of a regular hexagon will be 360°/6 = 60°

The interior angle is always the supplement (180° - 60°), so it will be 120°. Since there are 6 angles that means 720°.

Another general formula for the sum of the interior angles is:
(n-2) * 180°, where n is the number of sides. In your case you have 6 sides, so 4 * 180° = 720°.

A final way to figure the sum of the interior angles is to build a table. Each time you add 180°.

Triangle = 3 sides = 180°
Square = 4 sides = 360°
Pentagon = 5 sides = 540°
Hexagon = 6 sides = 720°
...

Any way you figure the answer, you should get 720°.

2006-11-30 09:40:34 · answer #1 · answered by Puzzling 7 · 2 0

Hexagon Angles

2016-09-30 23:16:06 · answer #2 · answered by richberg 4 · 0 0

Given a polygon of n sides the sum of the interior angles will add up to (n -2) * 180.

Triangle = (3 -2) * 180 = (1) * 180 = 180
Square = (4 -2) * 180 = (2) * 180 = 360
So in your case we have:
Hexagon = (6 -2) * 180 = (4) * 180 = 720 degrees.

Take care.

2006-11-30 09:26:49 · answer #3 · answered by apspark 1 · 0 0

The interior angles of a polygon is (n-2)180.
For a hexagon, that is (6-2)180 = 4(180)
= 720 degrees.

2006-11-30 09:22:40 · answer #4 · answered by Nicknamr 3 · 0 0

The formula for interior angle sum is
(number of sides - 2) times 180, so 4x180 = 720

The exterior angles always add up to 360 no matter how many sides.

2006-11-30 09:22:20 · answer #5 · answered by hayharbr 7 · 0 0

This Site Might Help You.

RE:
What do the angle measures of a hexagon add up to?
...???

2015-08-19 15:39:59 · answer #6 · answered by Horatia 1 · 0 0

Like any polygon, the angles making up a hexagon, whether interior or exterior angles, add up to 360 degrees. I don't know if that's the question you're asking . If not, please let us know.

2006-11-30 09:26:25 · answer #7 · answered by JIMBO 4 · 0 0

the exterior angles are 360, i don't know the interior sum.

2006-11-30 09:22:02 · answer #8 · answered by Coondog 1 · 0 0

720 degrees

2006-11-30 09:23:28 · answer #9 · answered by Anonymous · 0 0

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