Question

giving medal for answer



Write a formula for the sum of the measures of the angles of an n-gon (n sides).
a.
s = 360(n + 2)
c.
s = 180(n - 2)
b.
s = 360(n - 2)
d.
s = 180(n + 2)

Answer 1

sum of interior angles formula for polygon is = 180(n-2)
where n is the number of vértices
. For example Heptagon n=7 so: 180(7-2)=180*5=900
to find the size of each angle just devide this by 7: 900/7=128.6°

Answer 2

It's:

s = 180(n - 2)

because you can divide a polygon of "n" sides (where n > 3) into "n - 2" triangles, and the sum of the angles in any triangle is 180.

Answer 3

For example with a pentagon, you will have 3 triangle (5-2)

Answer 4

Good luck to you in all of your studies and thx for the recognition! @leahhbe