The measurements of $ riangle L M N$ and $ riangle A B C$ are shown in the figure given below. The

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The measurements of $	riangle L M N$ and $	riangle A B C$ are shown in the figure given below. The length of side $A C$ is :\

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(c): In $	riangle L M N, \angle L+\angle M+\angle N=180^{\circ}$\ $\angle L+130^{\circ}+28^{\circ}=180^{\circ} \Rightarrow \angle L+158^{\circ}=180^{\circ}$\ $\Rightarrow \angle L=22^{\circ}$\ In $	riangle L M N$ and $	riangle A B C \angle L=\angle A, \angle M, \angle B$\ $	herefore 	riangle L M N \sim 	riangle A B C$ [By AA similarity criterion]\ $\Rightarrow \frac{L M}{A B}=\frac{L N}{A C} \Rightarrow \frac{45}{5}=\frac{72}{A C} \Rightarrow A C=\frac{72 	imes 5}{45}=\frac{360}{45}=8 \mathrm{~cm}$\