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 ============================
The sum of the exterior angles of a polygon is 360o, so for a regular n-sided polygon, each is 360o/n. The interior and exterior angles of a polygon are supplementary, that is sum to 180o. For a regular 15 sided polygon: exterior_angle = 360o / 15 = 24o interior_angle = 180o - exterior_angle = 180o - 24o = 156o Alternatively: The sum of the interior angles of a n-sided polygon is (n-2) x 180o, so for a regular n-sided polygon each interior angle is (n-2) x 180o / n. For a 15 sided polygon: interior_angle = (15 - 2) x 180o / 15 = 13 x 12o = 156o exterior_angle = 180o - interior_angle = 180o - 156o = 24o.
Two ways to calculate the required angle. 1) Use the formula S = 2n - 4 right angles S is the sum of the interior angles of a polygon, n is the number of sides. Then, S = (2 x 15) - 4 = 26 right angles = 26 x 90 = 2340° So, each interior angle of a regular 15-sided polygon measures 2340/15 = 156° 2) Calculate the exterior angle and subtract from 180° to obtain the interior angle. Sum of exterior angles = 360° Each exterior angle measures, 360/15 = 24° Each interior angle measures, 180 - 24 = 156°
There are 90 diagonals in a 15-sided polygon.
its a pentadecagon i.e, a polygon with 15 sides. in a regular pentadecagon each angle is of 156 degrees
Providing thar it is a regular 15 sided polygon then each interior angle will be 156 degrees
The interior angles of a 15 sided polygon add up to 2340 degrees
Providing that it is a regular 15 sided polygon then each interior angle will be 156 degrees
The interior angles of a 15 sided polygon add up to 2340 degrees and if it is a regular polygon then each interior angle is 156 degrees.
The angles in a 15 sided polygon add up to 2340 degrees
The interiior angles of a 15 sided polygon add up to 2340 degrees
Providing that it is a regular 15 sided polygon then each interior angle measures 156 degrees
The interior angles of a 15 sided polygon add up to 2340 degrees.
2340 degrees
2340 degrees
Yes. Pentadecagon (15-sided polygon)
(15-2)*180 =2340