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How To Find The Sum Of Interior Angles Of A Polygon With 14 Sides

Interior angles of polygons Teaching Resources
Interior angles of polygons Teaching Resources from www.tes.com

Are you struggling with finding the sum of interior angles of a polygon with 14 sides? Don't worry, you're not alone. Many students find this concept difficult to understand, but with a little guidance, you'll be able to solve this problem in no time. In this article, we'll walk you through step-by-step on how to find the sum of interior angles of a polygon with 14 sides.

Understanding Interior Angles

Before we dive into the formula, let's define what interior angles are. Interior angles are the angles inside a polygon bounded by its sides. A polygon with n sides has n-2 triangles inside it, and the sum of the interior angles of each triangle is always 180 degrees.

Formula for Finding the Sum of Interior Angles

The formula for finding the sum of interior angles of a polygon with n sides is:

  • Sum of Interior Angles = (n-2) x 180
  • Using this formula, we can find the sum of interior angles of a polygon with 14 sides:

  • Sum of Interior Angles = (14-2) x 180
  • Sum of Interior Angles = 12 x 180
  • Sum of Interior Angles = 2,160 degrees
  • Practice Problem

    Let's apply this formula to a practice problem. Find the sum of interior angles of a polygon with 14 sides:

    Step 1: Use the formula for finding the sum of interior angles of a polygon with n sides.

  • Sum of Interior Angles = (n-2) x 180
  • Sum of Interior Angles = (14-2) x 180
  • Sum of Interior Angles = 12 x 180
  • Step 2: Simplify the equation.

  • Sum of Interior Angles = 2,160 degrees
  • Therefore, the sum of interior angles of a polygon with 14 sides is 2,160 degrees.

    Conclusion

    Understanding the concept of interior angles may seem daunting at first, but with practice, you'll be able to solve any problem thrown your way. Remember to use the formula for finding the sum of interior angles of a polygon with n sides, and you'll be well on your way to success. Keep practicing, and you'll master this concept in no time.

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