document.write( "Question 1126403: A circular piece of metal is to be cut into 3 pieces of one size and 5 pieces of a larger size so that the degree measure of the central angle of the larger piece is 6 degrees less than twice the degree measure of each smaller piece. What is the degree measure of each of the larger pieces? \n" ); document.write( "

Algebra.Com's Answer #742729 by ikleyn(52866) $\"\"$ $\"About$

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document.write( "Let x be the degree measure of each smaller piece.\r\n" );
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document.write( "Then the degree measure of each larger piece is (2x-6).\r\n" );
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document.write( "Your equation is \r\n" );
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document.write( "    3x + 5*(2x-6) = 360  degrees.\r\n" );
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document.write( "Solve for x:\r\n" );
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document.write( "    3x + 10x - 30 = 360\r\n" );
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document.write( "    13x = 360 + 30 = 390\r\n" );
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document.write( "    x =  = 30 degrees.\r\n" );
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document.write( "Answer.  The smaller piece has the central angle of 30 degrees;\r\n" );
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document.write( "         The larger piece has the central angle of 2*30 - 6 = 54 degrees.\r\n" );
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