Best Answer

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

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

Write your answer...

Submit

Still have questions?

Continue Learning about Math & Arithmetic

the center angle of any polygon is 360 degrees

To calculate the measure of a central angle of a regular nine-sided polygon, divide 360 degrees by the number of sides. In this case, divide 360 by 9. The measure of the central angle of a regular nine-sided polygon is 40 degrees.

The interior angle of a regular polygon with x sides is 180(x-2)/x. As a result, each angle of a regular 50-sided polygon is 172.8. The exterior angles are 7.2

5 degrees

Total 1440o; if regular, each angle = 144o

Related questions

The measure of each interior angle of a fifteen sided regular polygon, a pendedecagon, is 156o.

The interior angle of an octdecagon, an 18 sided regular polygon, is 160o.

The measure of 1 exterior angle of a regular 8-sided polygon is equivalent to 45 degrees. Hope I helped! :)

Each central angle of a regular 9 sided polygon: 360/9 = 40 degrees

This figure is a regular 12-sided polygon. Find m<4

The central angle of a n-sided regular polygon = 360 degrees / n. Hence, the central angle of a 15-sided regular polygon = 360 degrees / 15 = 24 degrees ============================

56

75

73.2

40

51º per interior angle

the center angle of any polygon is 360 degrees