document.write( "Question 580179: I know that the equation to find the sum of the measures of the angles for a regular polygon is
\n" ); document.write( "(180)N-360 when N=Number of sides. But I do not understand why.\r
\n" ); document.write( "\n" ); document.write( "Why do you multiply N by 180 then subtract 360.\r
\n" ); document.write( "\n" ); document.write( "Thanks. \n" ); document.write( "

Algebra.Com's Answer #371178 by Alan3354(69443) $\"\"$ $\"About$

You can put this solution on YOUR website!
I know that the equation to find the sum of the measures of the angles for a regular polygon is
\n" ); document.write( "(180)N-360 when N=Number of sides. But I do not understand why.\r
\n" ); document.write( "\n" ); document.write( "Why do you multiply N by 180 then subtract 360.
\n" ); document.write( "---------------
\n" ); document.write( "It's the same as 180*(n-2) = sum of angles
\n" ); document.write( "= 180*n - 360
\n" ); document.write( "-------------
\n" ); document.write( "If n = 3, 540 - 360 = 180 for a triangle.
\n" ); document.write( "If n = 4, 720 - 360 = 360 for a rectangle.
\n" ); document.write( "Don't argue with what works.
\n" ); document.write( "------------
\n" ); document.write( "The why is harder to explain.
\n" ); document.write( "============
\n" ); document.write( "I can do it on paper and scan it.
\n" ); document.write( "The other tutor didn't explain why there are 180 degs in a triangle. \n" ); document.write( "

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