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
Each exterior angle of a regular polygon with n sides is 360/n degrees. Each interior angle of a regular polygon is 180 - Exterior angle. A direct formula for the interior angle is 180*(n-2)/n degrees.
The exterior angle of an n-sided polygon is 360/n degrees. In this case n = 15 so angle is 24o
an acute angle
Central angle of a regular polygon is 360/n. n is the number of sides.
If the polygon has n sides, each exterior angle is 360/n degrees. The interior angle is its supplement, that is 180 - exterior angle. This is much simpler than trying to remember 180*(n-2)/n degrees.
let n = number of sides Size of interior angle = 180(n-2)/n
The interior angle of a polygon in degrees is 180*(n-2)/n, where n is the number of sides of the polygon. In radians, it is pi*(n-2)/n.
interior angle of an n-sided polygon = (180(n-2)/n)°interior angle of a 24-sided polygon = (180x22/24)° = 165°
base on (n-2)*180=the sum of all the interior angle and ext.angle +int angle =180 mean the ext angle =120 ext angle sum up to 360 360/120=n n=3 n stand for sides
A pentakaidecagon (or pentadecagon) is a 15-sided figure, using the theorem:[180 x (n-2)]/n to find the angle measurement of each angle (where n is the number of sides) we get 156 degrees.
Exterior angle + interior angle = 180 Hence Interior Angle = 180 - Exterior Angle The Exterior Angle = n(No. of sides ) / 360 Substituting Interior Angle = 180 - (n/360) Interior Angle = 180 - (18/360) Interior Angle = 180 - (1/20) Interior Angle = 179.95 degrees.
The measure of an interior angle in degrees of a regular polygon of n sides is given by the formula: 180 x (n-2) / nSubstituting with n=9, then the answer is that the interior angle = 140The measure of an exterior angle in degrees of a regular polygon of n sides is given by the formula: 360/nSubstituting with n= 9, then the answer is that the exterior angle = 40