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The sum of the angles (in degrees) for an n-sided polygon is given by the formula

sum = 180 (n-2)

For a triangle, n=3 and the sum is 180 (3-2) = 180

For a quadrilateral, n=4 and the sum is 180 (4-2) = 360

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Which polygon has the largest interior angle?

The polygon with the largest interior angle is a regular polygon, specifically a regular polygon with the greatest number of sides. In a regular polygon, all interior angles are equal, and the formula for calculating the interior angle of a regular polygon is (n-2) * 180 / n, where n is the number of sides. As the number of sides increases, the interior angle also increases. Therefore, a regular polygon with a very large number of sides will have the largest interior angle.


If the sum of the interior angles of a polygon is 5040 degrees then how many sides does it have?

sum interior angles = (number of sides - 2) × 180° → number of sides = sum interior angles ÷ 180° + 2 = 5040° ÷ 180° + 2 = 30


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

We can use a formula to find the sum of the interior angles of any polygon. In this formula, the letter n stands for the number of sides, or angles, that the polygon has.sum of angles = (n - 2)180°Substituting in 900 for the sum of the interior angles...900 = (n-2) * 180divide both sides by 1805 = n - 2add 2 to both sides7 = nThis is a seven sided Polygon. In geometry, a heptagon (or septagon) is a polygon with seven sides and seven angles.


If the sum of an interior angle measures of a polygon is 1080 degree's how many sides does the polygon have?

The sum of the interior angles of a polygon is 2n - 4 right angles - where n is the number of sides. So, 1080° = 1080/90 = 12 right angles If 2n - 4 = 12 then 2n = 16 : n = 8 The number of sides is 8.


Do all interior angles in a polygon add up to 180 degrees?

No. The sum of the internal angles of a polygon is related to the number of sides involved. The formula for calculating this sum is 180° × (n - 2) where n is the number of sides in the polygon.

Related Questions

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

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


What is the formula for finding the sum of the interior angles of a polygon?

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


How is the number of sides related to the sum of the interior angles of a polygon?

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


The sum of the interior angles of a polygon?

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


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.


How many measurements does a polygon have?

A polygon has two types of measurements: side lengths and interior angles. The number of side lengths is equal to the number of sides the polygon has, while the number of interior angles is always equal to the number of sides. So, a polygon has two measurements: side lengths and interior angles.


Which polygon has the largest interior angle?

The polygon with the largest interior angle is a regular polygon, specifically a regular polygon with the greatest number of sides. In a regular polygon, all interior angles are equal, and the formula for calculating the interior angle of a regular polygon is (n-2) * 180 / n, where n is the number of sides. As the number of sides increases, the interior angle also increases. Therefore, a regular polygon with a very large number of sides will have the largest interior angle.


What is the formula for the sum of the interior angles of a polygon?

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


What is the rule of the interior angles of a polygon?

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


What is the formula for sum of the interior angles of a polygon?

It is: (n-2)*180 = sum of interior angles whereas 'n' is the number of sides of the polygon


How many interior angles does a many sided polygon have?

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


What are the number of sides in a polygon if the sum of interior angles is 1080 degress?

8 sides