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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 is the bisector of ∠DGH, we know that m∠DGI is equal to m∠IGH.
Therefore, we can set up the equation: x - 3 = 2x - 13
Solving for x:
x - 2x = -13 + 3
-x = -10
x = 10
So the value of x is 10.