GI bisects DGH so that m DGI is x-3 and mIGH is 2x-13 find the value of x

x = 10

since GI bisects ∠DGH then ∠DGI = ∠IGH, hence

2x - 13 = x - 3 (subtract x from both sides)

x - 13 = - 3 (add 13 to both sides)

x = 10

x=10

Step-by-step explanation:

Remember that bisect in math means that something is cut in exactly two halfs, this means that both resultant segments will be equal so we can equalize them into an equation:

DGI=IGH

x-3=2x-13

No we just clear X to solve the equation:

2x-x=-3+13

x=10

So the value of X will be 10