Exterior angles add up to 360 degrees
Interior angles add up to 4140 degrees
Remember Exterior angle = 360 / No. of sides. Hence Exterior Angle = 360//25 = 24 degrees, It follows that the intertiot angle is 180 - 24 =156 degrees. There are 15 interior angles Hence 15 x 156 = 2340 degrees is the sum of the interior angles of a 'Pentadecagon'.
Method 1: Interior angles of a regular n-sided polygon total (2n - 4) right angles or 180n - 360 degrees. Each angle is therefore ((180 x 25) - 360)/25 ie 165.6 degrees. Method 2: EXterior angles of regular n-sided polygon = 360/n degrees, in this case 360/25 ie 14.4 degrees. Interior angle = 180 - exterior ie 180 - 14.4 = 165.6 degrees.
The formula for the sum of the interior angles of a polygon is: 180 * (n - 2) where n is the number of sides of the polygon. So the sum of the angles of a polygon with 25 sides is 180 * 23 = 4,140.
Because 25 does not divide 360.
Exterior angle = 14.4 degrees Interior angle = 165.6 degrees
The method of finding the sum of the interior angles of a polygon is by multiplying the (number of sides)-2 by 180, so the sum of the interior angle measures in a 25-sided polygon would be 23*180, or 4140 degrees.
4,140 degrees, or 23 'straight' angles.
658degrees
Any value you like.
It is: 360/25 = 14.4 degrees
4140
4140
4,140 degrees
Each interior angle measures 165.6 degrees
Mathematicians call it a 25 sided polygon or a 25-gon. ICOSITEPENTAGON
Ah, what a happy little question! A 25-sided polygon is called a "icosikaipentagon." Isn't that a lovely name? Just imagine all the beautiful shapes and angles you can create with a polygon like that. Keep exploring the world of math and geometry, my friend!
icosikaipentagon