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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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What is the measure of a central angle of a regular ten sided polygon?
the center angle of any polygon is 360 degrees
How do you calculate the measure of a central angle of a regular nine sided polygon?
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.
What is the angle measure of a 50 sided polygon?
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
What is the angle measure of a 10 sided polygon?
Total 1440o; if regular, each angle = 144o
What is the angle measure of each exterior angle of a 72-sided regular polygon?
5 degrees
What is the measure of each interior angle of a fifteen sided regular polygon?
The measure of each interior angle of a fifteen sided regular polygon, a pendedecagon, is 156o.
What is the measure of each interior angle of a 18 sided regular polygon?
The interior angle of an octdecagon, an 18 sided regular polygon, is 160o.
What is the exterior angle of a regular 8 sided polygon?
The measure of 1 exterior angle of a regular 8-sided polygon is equivalent to 45 degrees. Hope I helped! :)
Calculate the measure of a central angle of a regular nine- sided polygon?
Each central angle of a regular 9 sided polygon: 360/9 = 40 degrees
What is the measure of each central angle in a 12-sided regular polygon?
This figure is a regular 12-sided polygon. Find m<4
What is the measure in degrees of each central angle of a regular 15-sided polygon?
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 ============================
What will be the measure of an exterior angle of a regular 18 sided polygon?
56
What is the measure of each angle in a 12-sided regular polygon?
75
What is the measure of an exterior angle of a regular fifteen sided polygon?
73.2
What is the measure of each angle of a regular 9 sided polygon?
40
What is the measure of an angle of a regular seven sided polygon?
51º per interior angle
What is the measure of a central angle of a regular ten sided polygon?
the center angle of any polygon is 360 degrees
