The sum of the interior angles of a polygon with n sides is 180o × (n - 2), consequently the sum of the interior angles of a 28-sided polygon is 4680o (180o × 26).
For an n-sided regular polygon, the sum of the interior angles is equal to 180 x (n - 2). In the case of a 28-sided polygon, this would be 180 x (28 - 2) = 180 x 26 = 4680 degrees.
The sum of the interior angles of any n-sided polygon is (2n - 4) right angles. Your example has n = 26 so total is (52 - 4) x 90 degrees, ie 48 x 90 which is4320 degrees.
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 (4320+360)/180 = 26 sides
4,320° is.
The sum of the interior angles of a polygon with n sides is 180o × (n - 2), consequently the sum of the interior angles of a 28-sided polygon is 4680o (180o × 26).
For an n-sided regular polygon, the sum of the interior angles is equal to 180 x (n - 2). In the case of a 28-sided polygon, this would be 180 x (28 - 2) = 180 x 26 = 4680 degrees.
4320
90 x (2 x 15 - 4) ie 90 x 26 = 2340o. The sum of the interior angles of an n-sided polygon always is 90 x (2n - 4) degrees
Search nyo sa googLe. Hahahaha :P PEACE TAYOImproved Answer:-A 26 sided polygon has interior angles that add up to 4320 degrees
sum of interior angles of a regular polygon = (n-2) x 180 degrees, where n = number of sides. Each interior angle - sum of exterior angles / the total number of angles (and there are the same number of angles as sides, so you can use sum / n) = ((28-2)*180)/28) = (26*180 / 28) = 4680 / 28 = 167.1429 degrees
(26-2)*180 = 4320 degrees
The sum of the interior angles of any n-sided polygon is (2n - 4) right angles. Your example has n = 26 so total is (52 - 4) x 90 degrees, ie 48 x 90 which is4320 degrees.
If the interior angles add up to 4320 degrees then it will have 26 sides
It is: (4320+360)/180 = 26 sides
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°