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Exterior angles add up to 360 degrees

Interior angles add up to 4140 degrees

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What is the sum of the exterior angle of a 25 sided polygon?

The sum of the exterior angles of any polygon, regardless of the number of sides, is always 360 degrees. Therefore, for a 25-sided polygon, the sum of the exterior angles is also 360 degrees. Each exterior angle can be found by dividing 360 degrees by the number of sides, but the total remains constant at 360 degrees.


How do you work out the interior angles of a 25 sided polygon?

To find the interior angles of a 25-sided polygon (icosikaipentagon), you can use the formula for the sum of interior angles, which is ( (n - 2) \times 180^\circ ), where ( n ) is the number of sides. For a 25-sided polygon, this calculation would be ( (25 - 2) \times 180^\circ = 23 \times 180^\circ = 4140^\circ ). To find the measure of each interior angle in a regular 25-sided polygon, divide the total sum by the number of sides: ( \frac{4140^\circ}{25} = 165.6^\circ ).


What is the sum of the interior angle measures of a 15 sided polygon?

Remember Exterior angle = 360 / No. of sides. Hence Exterior Angle = 360//25 = 24 degrees, It follows that the intertiot angle is 180 - 24 =156 degrees. There are 15 interior angles Hence 15 x 156 = 2340 degrees is the sum of the interior angles of a 'Pentadecagon'.


Find the measure of an interior angle of a regular polygon with 25 sides?

Method 1: Interior angles of a regular n-sided polygon total (2n - 4) right angles or 180n - 360 degrees. Each angle is therefore ((180 x 25) - 360)/25 ie 165.6 degrees. Method 2: EXterior angles of regular n-sided polygon = 360/n degrees, in this case 360/25 ie 14.4 degrees. Interior angle = 180 - exterior ie 180 - 14.4 = 165.6 degrees.


What is the sum of the interior angles of a polygon with 25 sides?

The formula for the sum of the interior angles of a polygon is: 180 * (n - 2) where n is the number of sides of the polygon. So the sum of the angles of a polygon with 25 sides is 180 * 23 = 4,140.

Related Questions

What is the sum of the interior angle measures of a 25 - sided polygon?

The method of finding the sum of the interior angles of a polygon is by multiplying the (number of sides)-2 by 180, so the sum of the interior angle measures in a 25-sided polygon would be 23*180, or 4140 degrees.


What is the sum of the interior angle of a 25 sided polygon?

4,140 degrees, or 23 'straight' angles.


What is the interior angle of a 25 sided regular polygon?

658degrees


How do you work out the interior angles of a 25 sided polygon?

To find the interior angles of a 25-sided polygon (icosikaipentagon), you can use the formula for the sum of interior angles, which is ( (n - 2) \times 180^\circ ), where ( n ) is the number of sides. For a 25-sided polygon, this calculation would be ( (25 - 2) \times 180^\circ = 23 \times 180^\circ = 4140^\circ ). To find the measure of each interior angle in a regular 25-sided polygon, divide the total sum by the number of sides: ( \frac{4140^\circ}{25} = 165.6^\circ ).


What is the interior angle of a 25 sided polygon?

Any value you like.


What is the measure of an exterior angle of a 25 sided polygon?

It is: 360/25 = 14.4 degrees


What is the sum of the measures in degrees of the interior angles of a 25-sided polygon?

4140


What is the sum of the measures, in degrees, of the interior angles of a 25-sided polygon?

4140


What is the sum of the measures in degrees of the interior angels of a 25 sided polygon?

4,140 degrees


What is the measure of each interior angle of a regular 25 sided polygon?

Each interior angle measures 165.6 degrees


What is the name of 25 sided polygon?

Mathematicians call it a 25 sided polygon or a 25-gon. ICOSITEPENTAGON


What is the name of a 25 sided polygon?

icosekaipentagonal