Question

What is the next number, after 1980 that could be the sum of the interior angles of a polygon

Answer 1

Answer:

Step-by-step explanation:

The formula for sum of interior angles is S=(n-2)•180, n=# of sides of the polygon. As such, 1980=(n-2)•180. Solving for n, n-2=11, which Results n=13. A polygon with 13-sides that is.

(Went on the internet and got this. I hope this helps! I am not this far!)

Answer 2

Answer:

2160°

Step-by-step explanation:

To be a polygon, you need to have a whole number of sides, and the result of dividing the total interior angles by 180° should be less than the total number of sides.

Knowing this, we can add 180° to 1980°: 180° + 1980° = 2160°.

To check that the answer is correct:


(N-2)*180° = 2160°
N-2 =   $\frac{2160}{180}$
N-2 = 12
N = 12 + 2
N = 14

1980° is total 13 sides, so 2160° is one side more than 1980°, therefore it is correct