rm715
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Size:  503.2 KBApparently y is 149* but I don't understand why! Please could someone explain how you would work this out, thankyou!
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rm715
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(Original post by rm715)
y is 149* but I don't understand why!
Lol I did a pun and I didn't notice
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B_9710
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Interior angles in a hexagon add up to 720.
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Fractite
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Yeah, interior angles add up to 720, subtract all of those angles from 720 to give 149.

Also, to work out the sum of the interior angles, you do (n-2) x 180 (because you can split the shape into triangles, technically).
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rm715
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Ahh I get it, thankyou. So a hexagon's interior is just 360x2
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Zacken
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(Original post by rm715)
Ahh I get it, thankyou. So a hexagon's interior is just 360x2
The sum of the interior angles of an n sided polygon is (n-2) \times 180^{circ}. In this case, n=6 so (6-2) \times 180^{\circ} = 4\times 180^{\circ} = 2 \times 360^{\circ} = 720^{\circ}.
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Sir Cumference
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(Original post by rm715)
Ahh I get it, thankyou. So a hexagon's interior is just 360x2
Now you can try beating the Eggheads to test your understanding:

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rm715
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(Original post by notnek)
Now you can try beating the Eggheads to test your understanding:

I thought it was a dodecagon why did I get it wrong
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Sir Cumference
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(Original post by rm715)
I thought it was a dodecagon why did I get it wrong
The formula to find the sum of the interior angles of a polygon is

Sum = ( Number of sides - 2 ) x 180

A dodecagon has 12 sides. So for a dodecagon :

Sum = (12 - 2) x 180 = 10 x 180 = 1800.

So it can't be a dodecagon.


By the way, the use of the word 'regular' in this question is unnecessary. Non-regular polygons have the same sum as regular polygons.
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