Find the value of x.
(2 points)
GI bisects ∠DGH so that m ∠DGI is x − 3 and m ∠IGH is 2x − 13.
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To find the value of x, we need to set up an equation using the angle relationships in the problem.
Since GI bisects ∠DGH, ∠DGI and ∠IGH are congruent. This means that:
m ∠DGI = m ∠IGH
So we can set up the equation:
x - 3 = 2x - 13
Now we can solve for x:
x - 2x = -13 + 3
-x = -10
x = 10
Therefore, the value of x is 10.