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It is used in the formula for finding the sum of the interior angles of a polygon:-

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

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Q: Why do you use the number 2 to find the sum of the interior angle of a polygon?
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Related questions

How do you find a number of sides of a polygon with the measure of its interior angle?

If its a regular polygon then 180-interior angle and divide the answer into 360 which will give the number of sides of the polygon.


If one interior angle is 165 degrees find the number of sides of the polygon?

If one interior angle is 165 degrees, find the number of sides of the polygon.


The number of sides of a regular polygon is 7. Find the measure of each interior angle of the polygon?

a 7 sided polygon is heptagon and the interior angle of it is 128.57 degrees.


The measure of an interior angle of a regular polygon is 150 degrees Find the number of sides?

AnswerIt is Dodecagon.To find this, you have to first find the exterior angle of the polygon. Since the exterior angle of a polygon is always supplementary to the interior angle, you subtract the measure of the interior angle from 180. 180-150=30. Now You divide 360 by the measure of the exterior angle to get the number of sides of the polygon. 360/30=12. A 12-sided polygon is called a dodecagon


What do you do to find the interior angle of a polygon?

The interior angle of a polygon in degrees is 180*(n-2)/n, where n is the number of sides of the polygon. In radians, it is pi*(n-2)/n.


How do you find the interior angle degree of a polygon?

(n-2)*180 = sum of interior angles when n is the number of sides of the polygon


If the measure of each interior angle of a regular polygon is 171 find the number of sides in the polygon?

40 sides


How do you find a exterior angle?

180-interior angle = exterior angle If it's a regular polygon then: 360/number of sides = exterior angle


What is the formula to find the interior angle for a regular polygon?

360/number of sides and deduct the quotient from 180 which will give the measure of each interior angle


How do you find the interior angle of a polygon?

The sum of the interior angles of any regular polygon of n sides is equal to 180(n - 2) degrees. Once you have the sum, divide by the number of sides to find an individual angle.


How do you find the sum of angles in a n-sided polygon to give an expression for the measure of each interior angle of a regular n-gon?

It is: (number of sides -2)*180 = sum of interior angles If its a regular polygon then: sum of interior angles/number of sides = each interior angle


If the measure of one interior angle of a regular polygon is 140 degrees how many sides does the polygon have?

Since interior angle+exterior angle=180 degrees We can find out the exterior angle by doing 180-140=40 degrees. To find out the number of sides we simply do 360/40=9 So the polygon has 9 sides.