Answered

IDNLearn.com: Where your questions meet expert answers and community support. Discover prompt and accurate responses from our experts, ensuring you get the information you need quickly.

Given the measure of an interior angle of a regular polygon, how many sides does the polygon have?
176.25

Sagot :

Akposevictoridn

The number of sides that a regular polygon with an interior angle of 120 degrees has is: 6 sides.

How to Find the Number of Sides of a Regular Polygon

  • If we know the size of one interior angle of a regular polygon, we can find the number of sides of the polygon.
  • Use the formula: interior angle = [(n - 2)180]/n

Let's assume the given interior angle of the regular polygon is 120 degrees.

  • Therefore:

120 = [(n - 2)180]/n

  • Solve for n

120n = (n - 2)180

120n = 180n - 360

120n - 180n = -360

-60n = -360

n = 6

Therefore, the number of sides that a regular polygon with an interior angle of 120 degrees has is: 6 sides.

Learn more about regular polygons on:

https://brainly.com/question/1592456

Your presence in our community is highly appreciated. Keep sharing your insights and solutions. Together, we can build a rich and valuable knowledge resource for everyone. Thank you for visiting IDNLearn.com. We’re here to provide dependable answers, so visit us again soon.