For a coordinate system located at the centroid, calculate the maximum and minimum values of the moments of inertia Imax and Imin $($obtained by rotating the axes$)$ and the corresponding angles of the section shown in Fig. $3.$ Use a $=80$ mm$,$ b $=0\mathrm{.}8$a$,$ and t $=16$ mm$.$For a coordinate system located at the centroid, calculate the maximum and minimum values of the moments of inertia $I_{\text{m}\text{a}\text{x}}$ and $I_{\text{m}\text{i}\text{n}}$

$($obtained by rotating the axes$)$ and the corresponding angles of the section shown in Fig. $3.$ Use $a=80mm,b=0\mathrm{.}8a,$ and $t=16mm.$

Fig. $3$

$($Round $I_{\text{m}\text{a}\text{x}}$ and $I_{\text{m}\text{i}\text{n}}$ to $0$ decimal places, e$.$g$.5,125.$ Round angles to $1$ decimal place, e$.$g$.15\mathrm{.}2.)$

$I_{\text{m}\text{a}\text{x}}=$

$m{m}^4$ acts at

$.$

$I_{\text{m}\text{i}\text{n}}=$

$m{m}^4$ acts at

$.$