Let's take a look at our triangle:
(Drawing not to scale nor with exact measurements. Just illustrative)
Using the law of cosines, we can say that:
[tex]i^2=h^2+g^2-2gh\cos (91)[/tex]Solving for i ,
[tex]\begin{gathered} i^2=h^2+g^2-2gh\cos (91) \\ \rightarrow i=\sqrt[]{h^2+g^2-2gh\cos (91)} \\ \rightarrow i=\sqrt[]{93^2+53^2-2\cdot93\cdot53\cdot\cos (91)} \\ \Rightarrow i=108 \end{gathered}[/tex]Thereby, we can conclude that:
[tex]i=108\text{ in}[/tex]