document.write( "Question 1196606: Hello there my question is \r
\n" ); document.write( "\n" ); document.write( "Ray GJ bisects < FGH, m < FGJ = (7x - 9)°, and m < HGJ = (2x + 36)°. What is m < FGH? \n" ); document.write( "

Algebra.Com's Answer #829514 by ikleyn(52805) $\"\"$ $\"About$

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document.write( "Since angle FGH is bisected by the ray GJ, its halves, angles FGJ and HGJ are congruent \r\n" );
document.write( "and, therefore, have equal angular measures.  THEREFORE, we can write this equation\r\n" );
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document.write( "      7x - 9 = 2x + 36.\r\n" );
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document.write( "From this equation\r\n" );
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document.write( "    7x - 2x = 36 + 9\r\n" );
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document.write( "       5x   =   45\r\n" );
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document.write( "        x   =   45/5 = 9 degrees.\r\n" );
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document.write( "From it, we deduce  m < FGJ = 7x-9 = 7*9-9 = 63-9 = 54 degrees.\r\n" );
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document.write( "Angle's FGH angular measure is twice of it, i.e. 54*2= 108 degrees.    ANSWER\r\n" );
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