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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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Q: How can you use the number of sides in a polygon to find the sum of the interior angles?
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Which polygon has the largest interior angle?

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


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


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.


The sum of the interior angles of a polygon?

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


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


How do you find the interior sum of the angles of a polygon?

There is no single formulaImproved Answer:-(number of sides -2)*180 = number of the sum of interior angles


As the number of sides increases how do the angles change?

When the sides of a regular polygon increases its interior angles also increases