Question 1196606: Hello there my question is
Ray GJ bisects < FGH, m < FGJ = (7x - 9)°, and m < HGJ = (2x + 36)°. What is m < FGH?
Answer by ikleyn(52803)   (Show Source):
You can put this solution on YOUR website! .
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. ANSWER
Solved, with full explanations.
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