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The formula to calculate the TOTAL degrees of all angles in a shape is to use the formula

(N-2) x 180 where N is the number of sides of that shape.

So in this case:

(12 - 2) x 180

10 x 180 = 1800o

This means there is a total of 1800o in a 12 sided shape.

Now since we know it's a regular shape, this means every angle making up this 12 sided shape will be the same. So this means we can divide the total number of degrees by 12. So:

1800 / 12 = 150o is the size of one angle.

I hope that helps.

Jamz159

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Q: What is the measure of one angle on a regular 12 sided polygon?
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