Wednesday

September 3, 2014

September 3, 2014

Posted by **emily** on Monday, April 19, 2010 at 6:19pm.

- geometry -
**Damon**, Monday, April 19, 2010 at 6:36pmIf it has n sides you make n right turns to get all the way around the outside and end up going the same direction you were going at the start.

So each right turn is 360/n

Each interior angle is the supplement of that right turn

180 - (360/n)

so each interior angle = (180 n -360)/n

each = 180 (n-2)/n

the sum is then 180(n-2)

check that

triangle 180 (3-2)= 180 sure enough 180

square 180(4-2) = 360 yes

**Answer this Question**

**Related Questions**

geometry - The table shows the exterior angle measures for regular polygons. ...

geometry - The Polygon Angle-Sum Theorem states the following: The sum of the ...

Geometry - Two angles are supplementary if the sum of their measures is 180&#...

Geometry - 1. How many sides does a regular polygon have if one exterior angle ...

Geometry - What is the sum of the measures of the interior angles of a convex ...

algebra - the sum of the four angle measures of any convex quadrilateral is 360 ...

Geometry - In a regular polygon (equal sides and angles), you use (n-2)180 to ...

geometry - 1. the sum of the interior angle measures of a convex dodecagon. 2. ...

algebra 101 - If The sum of the measures of two complementary angles is 90° and ...

algebra - In any triange, the sum of the measures of the angles is 180degrees. ...