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
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answer #1
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answered by Puzzling 7
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Hexagon Angles
2016-09-30 23:16:06
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answer #2
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answered by richberg 4
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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
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answer #3
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answered by apspark 1
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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
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answer #4
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answered by Nicknamr 3
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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
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answer #5
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answered by hayharbr 7
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This Site Might Help You.
RE:
What do the angle measures of a hexagon add up to?
...???
2015-08-19 15:39:59
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answer #6
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answered by Horatia 1
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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
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answer #7
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answered by JIMBO 4
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the exterior angles are 360, i don't know the interior sum.
2006-11-30 09:22:02
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answer #8
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answered by Coondog 1
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720 degrees
2006-11-30 09:23:28
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answer #9
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answered by Anonymous
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