Sagot :
Answer:
- n = (S + 360)/180
Step-by-step explanation:
Given formula:
- S = 180(n - 2)
Solving for n:
- S = 180(n - 2) ⇒ open parenthesis
- S = 180n - 360 ⇒ isolate n
- 180n = S + 360 ⇒ divide both sides by 180
- n = (S + 360)/180
[tex]S = 180(n - 2) \\ S = 180n - 360 \\ 180n =( S + 360) \\ n = \frac{(S+ 360)}{180} [/tex]
where, n =number of sides of polygon
S =sum of the degree measures of the interior angles of the polygon