Answered

Welcome to Westonci.ca, where you can find answers to all your questions from a community of experienced professionals. Ask your questions and receive accurate answers from professionals with extensive experience in various fields on our platform. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately.

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 :

mhanifa

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
manissaha129

[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

We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. Find reliable answers at Westonci.ca. Visit us again for the latest updates and expert advice.