The angle of N is cos(r*3^8)
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n = 99 degrees compliment = n-18 also, compliment = 180-n therefore n-18 = 180-n 2n = 198 n = 99
120 you can find the angle of any regular polygon by using this formula...n is the number of sides ((n*180)-360)/n
you need the apex angle, call it n. Each base angle is one-half of (180 - n)
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
A polygon with n sides inscribed in a circle has an angle sum of 180xn-360 So the problem is find n so that 180n-360=9000 => n=48 The regular polygon with an angle sum of 9000 has 48 sides