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
Each exterior angle measures 36 degrees
square
If its a regular 9 sided polygon then the exterior angles are 40 degrees.
The measure of 1 exterior angle of a regular 8-sided polygon is equivalent to 45 degrees. Hope I helped! :)
If those are exterior angles, the exterior angles of any polygon add up to 360. That would be 18 sides.
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.
No.
If each exterior angle is 9 degrees then it is a regular 40 sided polygon.
Each exterior angle is 15 degrees
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
Providing that it's a regular polygon then each exterior angle will measure 12 degrees.
If it's a regular polygon then each exterior angle measures 36 degrees
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.
Each exterior angle measures 36 degrees
Each exterior angle is 72 degrees
Each exterior angle measures 15 degrees
Interior angle = 120 degrees Exterior angle = 60 degrees