Answered

Westonci.ca is the premier destination for reliable answers to your questions, brought to you by a community of experts. Our Q&A platform offers a seamless experience for finding reliable answers from experts in various disciplines. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.

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. Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. Westonci.ca is here to provide the answers you seek. Return often for more expert solutions.