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### Sum of Angles inside a Polygon

```
Date: 2/18/96 at 19:52:58
From: Mr. Patrick J. Smiley
Subject: Geometry

What is the sum of the angles inside a 10-sided polygon?
```

```

Date: 3/9/96 at 23:16:33
From: Doctor Jodi
Subject: Re: Geometry

Hi Patrick! On a flat plane, any polygon with n sides has an angle sum
of (n-2)*180 degrees.  For example, triangles have 3 sides, so the sum
of their interior angles is (3-2)*180 = 180 degrees.  A quadrilateral
has 4 sides, so its angle sum is (4-2)*180 = 360 degrees.  Now can you
apply the formula to find the interior angle sum of a 10-sided polygon?

Can you think of any problems this could help solve?

-Doctors Ken and Jodi,  The Math Forum

```
Associated Topics:
Middle School Geometry
Middle School Triangles and Other Polygons

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