# geometry

posted by .

The measure of an interior angle of a regular n-gon is 140 degree. How many sides are in the regular polygon?

• geometry -

let the number of sides be n

180(n-2)/n = 140
180n - 360 = 140n
40n = 360
n = 9

9-sided regular polygon, a nonagon

## Respond to this Question

 First Name School Subject Your Answer

## Similar Questions

1. ### math--fast help please

Find the interior and exterior angle measurements of a polygon with this many sides: x=2y help?
2. ### Geometry

In a regular polygon (equal sides and angles), you use (n-2)180 to find out what the interior angle sum is (n=number of sides in polygon) and you divide by that number by whatever n is to find out the measure of an individual angle, …
3. ### Geometry

A regular polygon has an exterior angel measure of (x+3) Degrees and an interior angle measure of (13x-33) degrees Find the measure of each angle How mant sides does this polygon have?
4. ### geometry

1. An exterior angle of a regular polygon measures 30 degrees. What is the measure of an interior angle?
5. ### Geometry

1. How many sides does a regular polygon have if one exterior angle is 90 degrees?
6. ### geometry

The Polygon Angle-Sum Theorem states the following: The sum of the measures of the angles of an n-gon is ____. (1 point) (n – 1)180o (n – 2)180o 9. What is the measure of one angle in a regular 16-gon?
7. ### math

Each interior angle of a regular polygon is 140 degree. the number of sides of the polygon is?
8. ### Math

1. The measure of an interior angle of a regular polygon is 20 more than thrice the measure of its adjacent exterior angle. Find the number of sides of the polygon and its total number of diagonals. 2. Find the sum and difference between …
9. ### Math

Are the statements Always, Sometimes or Never. Please explain why. Thanks. 1. An equilateral polygon is regular. 2. The greater the number of sides of a regular polygon, the smaller the measure of any of its exterior angle. 3. The …
10. ### Math

The measure of each interior angle of a regular polygon with n sides is [(n - 2)180 / n] degrees. What is the measure of each interior angle of a regular polygon with n sides, in radians?

More Similar Questions