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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.


What is the angle sum for 25 sided polygon?

Exterior angles add up to 360 degrees Interior angles add up to 4140 degrees


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.


How many parallel sides in a 25 sided polygon?

None. Since the number of sides is odd, there can be no parallel sides.


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 ).