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It will have 14 sides

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If the sum of an interior angle measures of a polygon is 2160 degrees how many sides does the polygon have?

To find the number of sides in a polygon given the sum of its interior angles, you can use the formula ( S = 180(n - 2) ), where ( S ) is the sum of the interior angles and ( n ) is the number of sides. Setting ( S = 2160 ) degrees, we have: [ 2160 = 180(n - 2) ] Solving for ( n ) gives: [ n - 2 = \frac{2160}{180} = 12 ] [ n = 12 + 2 = 14 ] Thus, the polygon has 14 sides.


How many degrees are in a 14 sided polygon?

To find the sum of the interior angles of a polygon, you can use the formula ( (n-2) \times 180 ) degrees, where ( n ) is the number of sides. For a 14-sided polygon, this would be ( (14-2) \times 180 = 12 \times 180 = 2160 ) degrees. Therefore, the sum of the interior angles in a 14-sided polygon is 2160 degrees.


How many sides has a convex polygon if the sum of the measures its angles is 2160?

14


What polygon has 5040 interior angles?

A polygon with 5040 interior angles has 5041 sides. The formula for the number of interior angles in a polygon is given by ( n ), where ( n ) is the number of sides. Since each polygon has as many interior angles as it has sides, a polygon with 5040 interior angles must have 5041 sides.


How many sides does a polygon have with angles of 12 degrees?

Any polygon can have two interior angles of 12 degrees. No polygon can have all its interior angles of 12 degrees.


How many extrerior angles does a polygon have?

As many as it has interior angles. The exact amount depends on the specific polygon.


How many side does a regular polygon have with an interior angle of 30?

The smallest regular polygon, an equilateral triangle, has interior angles of 60. A square has interior angles of 90. There can't exist a regular polygon with interior angles of 30.


How many sides does a polygon have if the interior angles equal 180 degrees?

If all of the interior angles of the polygon add up to 180 degrees, then the polygon is a triangle.


How many interior angles does a many sided polygon have?

(number of sides -2)*180 = sum of interior angles


How many sides does a polygon have if the interior angles equal 1260?

Sum of interior angles of a polygon = (2n - 4)right angles 1260 = (2n - 4) x 90 1260 = 180n - 360 900 = 180n n = 5, it is a pentagon


If the sum of the interior angles of a polygon is 1080 how many sides does the polygon have?

8


If the sum of the interior angles of a polygon is 900 how many sides does the polygon have?

7