Question 1196606
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Since angle FGH is bisected by the ray GJ, its halves, angles FGJ and HGJ are congruent 
and, therefore, have equal angular measures.  THEREFORE, we can write this equation

      7x - 9 = 2x + 36.


From this equation

    7x - 2x = 36 + 9

       5x   =   45

        x   =   45/5 = 9 degrees.


From it, we deduce  m < FGJ = 7x-9 = 7*9-9 = 63-9 = 54 degrees.


Angle's FGH angular measure is twice of it, i.e. 54*2= 108 degrees.    <U>ANSWER</U>
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Solved, with full explanations.