Let $\angle G = \alpha$, $\angle H = \beta$, and $\angle J = \gamma$. Since AJ and JI are angle bisectors, we have $\angle GAJ = \frac{\alpha}{2}$, $\angle HAJ = \frac{\beta}{2}$, and $\angle JIH = \frac{\gamma}{2}$.
Now, let's use the Angle Bisector Theorem,
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