# math

posted by .

tell me if I am correct. In order to find the sum of the angles in a 50-gon, you have to find the number of triangle in a petagon which is 3 therefore 50-gon would have 30 triangles. then i would take 30 X 180 which would give me 5,400 degree

• math -

I believe to find the sum of the exterior angles of a n-sided polygon is (n-2)*180 where n is the number of sides. So for a 50-sided polygon it should be 8640 degrees. For the interior angles it is (n-2)*180/n where again n is the number of sides.

• math -

A small correction:

The sum of the interior angles of an n-gon is (n-2)*180.

The interior angles and the exterior angles always add up to 360.

## Similar Questions

1. ### Math

line BC is one side of a regular n-gon. The sides next to line BC are extended to meet at W. Find the measure of angle W in terms of n That's a triangle. Use the facts about the relationships between the angles. If the ngon is regular, …
2. ### math

find the sum of the measures of the intieior angles of each polygon. -hexagon -pentagon -quadrilateral -octagon -16-gon -27-gon The key is the sum of the measures. All of these figures have the same total number of degrees in their …

4. ### geometry

find the sum of the measures of the interior angles of a 13-gon
5. ### geometry

If the sum of the measures of the interior angles of a convex n-gon is equal to the sum of the measures of the exterior angles, how many sides does the n-gon have?
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. ### Geometry

Determine the largest positive integer N, such that given any N-gon (not necessarily convex), there exists a line (infinitely extended in both directions) that contains exactly 1 edge of the N-gon. The figure in blue is an example …
8. ### Geometry

Find the sum of the measures of the exterior angles of a convex 39-gon?
9. ### 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 …
10. ### Geometry

Use less than, equal to, or greater than to complete this statement: The sum of the measures of the exterior angles of a regular 9-gon, one at each vertex, is ____ the sum of the measures of the exterior angles of a regular 6-gon, …

More Similar Questions