document.write( "Question 777906: A regular polygon has 45 sides. What is the size of an interior angle? \n" ); document.write( "
Algebra.Com's Answer #474322 by FrankM(1040)\"\" \"About 
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In your mind, find the center of this polygon. A line is drawn from center to every vertex, 45 lines radiating out. 360/45 is 8 degrees, right? So each triangle you made has one 8 degree angle. \r
\n" ); document.write( "\n" ); document.write( "180-8=172 which is the answer you seek. \r
\n" ); document.write( "\n" ); document.write( "Now 172 is the total of the other 2 angles, so half is 86, but it takes two to form the full angle you are measuring. The above approach can easily be followed for any N sided polygon. \r
\n" ); document.write( "\n" ); document.write( "(Note - 8 is the small angle of the imaginary triangle in your figure. The polygon itself has 45 sides, and 8 degrees doesn't appear until we go through the thought process to solve the problem, it's there as an intermediate step only.)
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