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Sum of exterior angles = 360 degrees.
So each exterior angle = 360/30 = 12 degrees
and so, each interior angle = 180-12 = 168 degrees.
Edit: Not quite so.
For a 30 sided regular shape, the sum of the external angles is
(2n+4)x90 = 5760 degrees
so each external angle is 5760/30 = 192 degrees.
The sum of the internal angles is (2n-4)x90 = 5040 degrees
so each internal angle is 5040/30 = 168 degrees.
The two angles should add up to 360. They do.
What else can I help you with?
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.
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 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! :)
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 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 each angle of a regular 9 sided polygon?
40
What is the measure of an exterior angle of a regular fifteen sided polygon?
73.2
What is the measure of an angle of a regular seven sided polygon?
51º per interior angle
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 is the measure of a central angle of a regular ten sided polygon?
the center angle of any polygon is 360 degrees
