Q: What the interior and exterior of a polygon with 15 sides?

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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.

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Interior angle 156 degrees Exterior angle 24 degrees 360/24 = 15 sides

Each exterior angle: 15 degrees Each interior angle: 165 degrees

Each interior angle is 165 degrees Each exterior angle is 15 degrees

Exterior: 360 degrees Interior: 2340 degrees

A regular polygon with interior angles measuring 165 degrees each will have exterior angles measuring 15 degrees each, since each pair of interior/exterior angles forms a linear pair whose measures total 180 degrees. For any polygon, the sum of the exterior angles is 360 degrees. You can find how many sides, and therefore vertices, in the polygon by dividing 360 by 15. In this case, the polygon has 360/15 = 24 sides.

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.