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
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.
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.
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