The line GH bisects The triangle FGI meaning it divides it into two equal parts <em>(that is the definition if bisection); </em>therefore, the angles FGH and HGI are equal:

Now let us add 2 to both sides gives

subtracting 4x from both sides gives


Hence, x = 11.
The measure of FGH is

(B)
The measure of HGI is

(C)
The measure of FGI is the sum of HGI and FGH:

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Y = -2x, because the slope is going downwards and as x increases by 1, y decreases by 2 and there is no y-intercept (x = 0 means y = 0)
If you factor it, you can get an equation that is equivalent. So take out a 6. that leaves you with 6(8+3x)