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

Updated: 11/4/2022

Wiki User

11y ago

Whatever you like. There is nothing in the question that requires the polygon to be convex, not regular.

Wiki User

11y ago

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Q: What the interior and exterior of a polygon with 15 sides?
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### In a regular polygon the ratio of an exterior angle to the measure of an interior angle is 2 to13 how many sides does the polygon have?

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

### What is the exterior and interior of angles in a regualar polygon with 24 sides?

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

### What is the interior and exterior angle of a regular polygon with 24 sides?

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

### How many degrees does a polygon have with 15 sides?

Exterior: 360 degrees Interior: 2340 degrees

### A polygon has interior angle 165 degrees how many sides has it?

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.

### How many sides does a regular polygon have if the measure of an exterior angle is 165 degree?

There is no such polygon but if you meant an interior angle of 165 then it will have 360/15 = 24 sides

### What is the sum of a 15-sides polygon?

Exterior angles = 360 degrees Interior angles = 2340 degrees

### What is the interior and exterior angle of a regular 15 sided polygon?

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

### how many sides does a regular polygon have if the exterior angle is 15?

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.

### What is the sum of the interior angles for a polygon having 15 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

### How many sides does it have if a regular polygon has interior angles of 165 degrees?

Each exterior angle is 180-165 = 15 degrees and so it has 360/15 = 24 sides

### What polygon has a sum of exterior angles which is 15 times its interior angle sums?

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.