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the formula for the sum of the degree measures of the interior angles of a polygon is S=180(n-2) Solve for ,n, the number of sides of the polygon, in terms of S

NEED STEP BY STEP EXPLANATION

Sagot :

Mhanifaidn

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
Manissaha129idn

[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

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