Each interior angle is 165 degrees Each exterior angle is 15 degrees
There is no such polygon but if you meant an interior angle of 165 then it will have 360/15 = 24 sides
Exterior angles = 360 degrees Interior angles = 2340 degrees
The interior angles add up to (15-2)*180 = 2340 degrees The exterior angles add up to 360 degrees which is the case for any polygon
The interior angles of a regular polygon cannot be less than 60 degrees so 24 degrees is not possible. ------------------------------- However a regular polygon with EXTERIOR angles of 24° has 360° ÷ 24° = 15 sides.
Interior angle 156 degrees Exterior angle 24 degrees 360/24 = 15 sides
Each interior angle is 165 degrees Each exterior angle is 15 degrees
Each exterior angle: 15 degrees Each interior angle: 165 degrees
Exterior: 360 degrees Interior: 2340 degrees
There is no such polygon but if you meant an interior angle of 165 then it will have 360/15 = 24 sides
Exterior angles = 360 degrees Interior angles = 2340 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=15, then the answer is thatthe interior angle = 12x13 =156The measure of an exterior angle in degrees of a regular polygon of n sides is given by the formula: 360/nSubstituting with n= 15, then the answer is that the exterior angle = 24
by the number of sides, 'n' of that particular polygon. by the exterior angle. Therefore, the number of sides of the polygon is 24 sides.
The interior angles add up to (15-2)*180 = 2340 degrees The exterior angles add up to 360 degrees which is the case for any polygon
Each exterior angle is 180-165 = 15 degrees and so it has 360/15 = 24 sides
There can be no such polygon. The sum of exterior angles of any polygon is 360 degrees. If the sum of the exterior angles is 15 times the sum of the interior angles, then the sum of the interior angles must be 360/15 = 24 degrees. Now, the sum of the interior angles of a polygon with n sides is (n-2)*180 degrees So (n-2)*180 = 24 That is, (n-2) = 24/180 = 0.133... and so n = 2.133...sides But n must be an integer and it must be greater than or equal to 3.
The interior angles of a regular polygon cannot be less than 60 degrees so 24 degrees is not possible. ------------------------------- However a regular polygon with EXTERIOR angles of 24° has 360° ÷ 24° = 15 sides.