document.write( "Question 1000354: What is the vertex defect at a vertex where an equilateral triangle, a square and a regular pentagon meet? What is the answer in degrees and as a fraction. \n" ); document.write( "
Algebra.Com's Answer #617833 by ikleyn(53763)\"\" \"About 
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\n" ); document.write( "What is the vertex defect at a vertex where an equilateral triangle, a square and a regular pentagon meet? What is the answer in degrees and as a fraction.
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\n" ); document.write( "\n" ); document.write( "An equilateral triangle contributes  60°.\r
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\n" ); document.write( "\n" ); document.write( "A square contributes  90°.\r
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\n" ); document.write( "\n" ); document.write( "A regular pentagon contributes  \"180%2A%28n-2%29%2F5\" = \"180%2A%285-2%29%2F5\" = 108°.\r
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\n" ); document.write( "\n" ); document.write( "The sum of these angles is  60° + 90° + 108° = 258°.\r
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\n" ); document.write( "\n" ); document.write( "A vertex defect  (see  this article  from Wikipedia)  is the difference between  360°  and this sum,  i.e.  360° - 258° = 102°.\r
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