Ask Question
24 May, 01:42

Each interior angle of a regular n-sided polygon is 150 degrees. How many sides does the polygon have?

+5
Answers (1)
  1. 24 May, 03:39
    0
    The sum of the interior angles of the polygon = (n - 2) x 180.

    (n - 2) x 180 = (n x 150)

    180n - 360 = 150n

    Add 360 to each side:

    180n = 150n + 360

    Subtract 150n from each side:

    30n = 360

    Divide each side by 30:

    n = 12
Know the Answer?
Not Sure About the Answer?
Find an answer to your question ✅ “Each interior angle of a regular n-sided polygon is 150 degrees. How many sides does the polygon have? ...” in 📘 Mathematics if you're in doubt about the correctness of the answers or there's no answer, then try to use the smart search and find answers to the similar questions.
Search for Other Answers