document.write( "Question 195892: I never get how to do these!! They so frustrating! I believe that there's a formula involved, though I'm not sure...\r
\n" ); document.write( "\n" ); document.write( "Each interior angle of a regular polygon measures 156°. How many sides does the polygon have?\r
\n" ); document.write( "\n" ); document.write( "A: 13
\n" ); document.write( "B: 14
\n" ); document.write( "C: 15
\n" ); document.write( "D: 16\r
\n" ); document.write( "\n" ); document.write( "It's not 14, I can tell you that. I don't know why it's not 14 though.
\n" ); document.write( "thank you!! :)
\n" ); document.write( "

Algebra.Com's Answer #146879 by Alan3354(69443)\"\" \"About 
You can put this solution on YOUR website!
I never get how to do these!! They so frustrating! I believe that there's a formula involved, though I'm not sure...
\n" ); document.write( "Each interior angle of a regular polygon measures 156°. How many sides does the polygon have?
\n" ); document.write( "A: 13
\n" ); document.write( "B: 14
\n" ); document.write( "C: 15
\n" ); document.write( "D: 16
\n" ); document.write( "It's not 14, I can tell you that. I don't know why it's not 14 though.
\n" ); document.write( "-------------------
\n" ); document.write( "The sum of the interior angles of a polygon (all polygons) is
\n" ); document.write( "180º*(n-2) (n is the number of sides)
\n" ); document.write( "So, each angle is 180*(n-2)/n
\n" ); document.write( "----------
\n" ); document.write( "156 = 180(n-2)/n
\n" ); document.write( "156n = 180(n-2)
\n" ); document.write( "156n = 180n - 360
\n" ); document.write( "-24n = -360
\n" ); document.write( "n = 15
\n" ); document.write( "15 sides, 15 angles
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