The angles are 121 and 59 degrees, respectively
How to determine the angles?
The given parameters are:
FGH = 11x
HGJ = 6x - 7
Linear pair angles add up to 180.
So, we have:
11x + 6x - 7 = 180
Evaluate the like terms
17x = 187
Divide both sides by 17
x = 11
Substitute x = 11 in FGH = 11x and HGJ = 6x - 7
FGH = 11 * 11=121
HGJ = 6 * 11 - 7 = 59
Hence, the angles are 121 and 59 degrees, respectively
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