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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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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.

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.

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

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

40 sides

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

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

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.

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

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Divide the number of sides into 360 which will give you the exterior angle and subtract this angle from 180 which will give you the interior angle.

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