Two $L55\frac{1}{2}$ angles are welded to a $10in.x\mathrm{.}5in$ plate. If the $"b"$ distance is $4\mathrm{.}5$ in $,$ determine the

moments of inertia with respect to the horizontal centroidal axis $($a$)l_{xc}$ and the vertical centroidal axis $($b$)$

lyc$.$ You can use the given axes as references.