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) You can put this solution on YOUR website! . \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. \n" ); document.write( "-----------------------------------------------------------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "An equilateral triangle contributes 60°.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "A square contributes 90°.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "A regular pentagon contributes \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The sum of these angles is 60° + 90° + 108° = 258°.\r \n" ); document.write( " \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 \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |