Any value between 0 and 360 degrees.
Any value between 0 and 360 degrees.
Any value between 0 and 360 degrees.
Any value between 0 and 360 degrees.
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.
assuming it is a regular polygon: the total exterior angles of any regular polygon add up to 360° therefore 360/15=24°
its a pentadecagon i.e, a polygon with 15 sides. in a regular pentadecagon each angle is of 156 degrees
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 ============================
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
gg8
The exterior angles of a 15 sided shape add up to 360 degrees
Each exterior angle measures 15 degrees
15 degrees
The exterior angle of an n-sided polygon is 360/n degrees. In this case n = 15 so angle is 24o
The exterior angles of a REGULAR 15-gon are 204o, so the sum would be 3060o. This remains true for non-regular 15-gons as well (the exterior angle sum, not the exterior angles).
Providing that it is a regular 15 sided polygon then each interior angle will be 156 degrees
Exterior angle: 24 degrees Interior angle: 156 degrees
to find the the exterior angle, divide 360 degrees by the number of sides. so the answer is 15 degrees.
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.
It is: 360/24 = 15 degrees
Sum of exterior angles = 360 deg Number of exterior angles = 360/24 = 15 So it is a 15-sided polygon