document.write( "Question 1145297: point G lies in the interior of angle DEF. The ratio of angle GEF to angle GED is 3 to 5, and the measuurement pf DEF = 64°. Find the measurement of angle DEG and the measurement of angle FEG \n" ); document.write( "

Algebra.Com's Answer #766507 by ikleyn(52817) $\"\"$ $\"About$

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document.write( "It is strange formulation of the problem :\r\n" );
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document.write( "    - You call the same angle GEF and FEG by two different names;\r\n" );
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document.write( "    - you call the same angle GED and DEG by two different names.\r\n" );
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document.write( "Do you make it intentionally to transform a simple problem into more complicated ?\r\n" );
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document.write( "Solution\r\n" );
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document.write( "Since the ratio of two angles GEF to GED is 3:5, you can write\r\n" );
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document.write( "      m(GEF) = 3x   and  m(GED) = 5x.\r\n" );
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document.write( "where x is their common angular measure.\r\n" );
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document.write( "Then  3x + 5x = 8x = 64;  hence x = 64/8 = 8 degrees.\r\n" );
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document.write( "From it, there is only one step to the \r\n" );
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document.write( "ANSWER.  Angle GEF measure is 3*8 = 24 degrees;  angle GED measure is 5*8 = 40 degrees.\r\n" );
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document.write( "CHECK.   = .    ! Correct !\r\n" );
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