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How do you calculate the exterior angles on a 24 sided shape?
The sum of exterior angles always equals 360 degrees. Therefore, 360 degrees/24 angle = 15 degrees per angle. Keep in mind this only works for regular polygons.
What is the exterior angle of a 15 sided polygon?
assuming it is a regular polygon: the total exterior angles of any regular polygon add up to 360° therefore 360/15=24°
What is a 15 sided shape?
its a pentadecagon i.e, a polygon with 15 sides. in a regular pentadecagon each angle is of 156 degrees
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 regular polygon has a exterior angle of 24 degrees?
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
