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We know that the sum of the exterior angles of a regular polygon is 360°. Since the exterior angle is 24°, then
24°n = 360° divide both sides by 24°;
n = 15
Thus a 15-sided regular polygon has an exterior angle of 24°.
If you don't remember the above fact, you can work in this way:
If the exterior angle is 24°, then the angle of polygon will be 156° (180 - 24).
Since the sum of the angle of the polygon is equal to (n - 2)180°, then we have:
156° n = (n - 2)180°
156° n = 180°n - 360° subtract 156°n and add 360° to both sides;
360° = 24°n divide by 24° to both sides;
15 = n
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What is an exterior angle of a regular 10 sided polygon?
Each exterior angle measures 36 degrees
If the exterior angle of a regular polygon equals 90 degrees what shape is the polygon?
square
What is the exterior angle of a 9 sided polygon?
If its a regular 9 sided polygon then the exterior angles are 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! :)
How many sides does a regular polygon have with the angle 20 degrees?
If those are exterior angles, the exterior angles of any polygon add up to 360. That would be 18 sides.
What is the interior and exterior angle of a regular polygon?
Each exterior angle of a regular polygon with n sides is 360/n degrees. Each interior angle of a regular polygon is 180 - Exterior angle. A direct formula for the interior angle is 180*(n-2)/n degrees.
Can a regular polygon have an exterior angle with 100 degrees?
No.
What polygon has the exterior angle measurement of 9?
If each exterior angle is 9 degrees then it is a regular 40 sided polygon.
What is the exterior angle of a regular polygon with 24 sides?
Each exterior angle is 15 degrees
How many degrees are in the sum of an angle and an exterior angle of a regular polygon?
360 ________________________________________________ Sum of Interior Angles of a Polygon = 180 (n-2) Sum of Exterior Angles of a Polygon = 360 The sum of an angle and an exterior angle of a regular polygon is 360
What is the exterior angle of a 30 sided polygon?
Providing that it's a regular polygon then each exterior angle will measure 12 degrees.
If the exterior angle of a regular polygon equals 72 degrees what is the shape of the polygon?
The sum of all exterior angles of a polygon is 360 degrees. In a regular polygon, all of the exterior angle are equal, so there must be 360/72=5 sides of the polygon, which makes it a pentagon.
What is an exterior angle of a regular 10 sided polygon?
Each exterior angle measures 36 degrees
What degree is a regular exterior angle of a 5-sided polygon?
Each exterior angle is 72 degrees
What is the exterior angle of a regular 24 sided polygon?
Each exterior angle measures 15 degrees
What is the measures of an interior angle and an exterior angle of a regular polygon with 6 sides?
Interior angle = 120 degrees Exterior angle = 60 degrees
What is the exterior of a regular polygon with 24 sides?
Each exterior angle is 15 degrees
