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Let S be the sum of the measures of all the interior angles, in degrees.

Then the number of sides is S/180 + 2.

Q: What is the formula used to calculate the number of sides in a polygon using its angle measures?

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The interior angle of any regular polygon can be calculated using the formula 180 * (n - 2) / n, where n is the number of sides. In this case, since each exterior angle measures 72 degrees, the interior angle would be 180 - 72 = 108 degrees. So the measures of the interior angles in this regular polygon would be 108 degrees.

A polygon with interior angle measures of 108 would be a pentagon

The formula is: 0.5*(n2-3n) where n is the number of sides of the polygon

The formula is: 0.5*(n2-3n) = diagonals whereas n is the number of sides of the polygon

The formula to find the measure of an interior angle in a regular polygon is [(n-2)(180)]/n In other words, you take the number of sides in a regular polygon, such as a rhombus, and subtract two. Then multiply that by 180. Lastly, divide by the number of sides.

Related questions

360 divided by number of sides

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

By using the formula: (n-2)*180 = sum of degrees in a polygon whereas 'n' is the number of sides of the polygon

If it's a regular polygon: 360/number of sides = each exterior angle

360 degrees. The sum of the measures of the exterior angles any convex polygon will always be 360 degrees. The formula for finding the sum of the measures of the interior angles is 180(n-2) when n= the total number of sides the polygon has.

For a regular n-sided polygon with sides of length s, the formula is: A = (n*s^2) / (4*tan(180/n))

We have the interior angle 144âˆ˜ . We can find the number of sides using the formula as follows. Thus, the polygon has 10 angles and 10 sides.

The interior angle of any regular polygon can be calculated using the formula 180 * (n - 2) / n, where n is the number of sides. In this case, since each exterior angle measures 72 degrees, the interior angle would be 180 - 72 = 108 degrees. So the measures of the interior angles in this regular polygon would be 108 degrees.

A polygon with interior angle measures of 108 would be a pentagon

The formula is: 0.5*(n2-3n) where n is the number of sides of the polygon

If each exterior angle of a regular polygon measures 40 degrees, the polygon is a nonagon (9-sided polygon).

The formula for calculating the interior angles for any polygon is:- (number of sides -2)*180 = sum of interior angles So: (9 -2)*180 = 1260 degrees