Ask Question
4 November, 04:52

Find the number of sides of a regular polygon if one interior angle is 120 degrees.

+2
Answers (1)
  1. 4 November, 06:27
    0
    There are six sides

    Because

    First, the number of sides and the number of interior angles, both are the same

    To find the sum of all internal angles, you use the formula:

    (n-2) 180=z

    where n is the number of sides or internal angles, and z is the angle sum. the letters can be anything

    so now, if one interior angle is 120 degrees, then you get the total angle sum by multiplying 120 by n

    so just write the equation, and replace z (angle sum) with 120n

    (n-2) 180=120n

    Solve it in any way you like

    180n-120n=360

    60n=360

    n=6

    there are six sides and internal angles! This is a hexagon.

    FYI, a hexagon's internal angles add up to 120*6=720 degrees
Know the Answer?
Not Sure About the Answer?
Find an answer to your question ✅ “Find the number of sides of a regular polygon if one interior angle is 120 degrees. ...” 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