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GI bisects <DGH so that m<DGI is x - 3 and m<IGH is 2x - 13. Find the value of x.
Since GI bisects ∠DGH, we can set the angles on either side of the bisector equal to each other.
Therefore, x - 3 = 2x - 13.
Subtracting x from both sides gives us -3 = x - 13.
Adding 13 to both sides gives us 10 = x.
So, the value of x is 10.