For a five$-$ sided closed polygon traverse with the following angles $($taken to the right$),$ and the

respective lengths, with an azimuth of side $AB$ is fixed at $63\mathrm{.}677$ : $($Note: Assume units of feet for all

distances.$)$

$A=287\mathrm{.}59$;$B=240\mathrm{.}56$;$C=266\mathrm{.}90$;$D=224\mathrm{.}23$;$E=240\mathrm{.}61.$

$AB=130\mathrm{.}20ft.$;$BC=162\mathrm{.}82ft.$;$CD=62\mathrm{.}41ft.$;$DE=111\mathrm{.}63ft.$;$EA=160\mathrm{.}22ft$

Part $1.$ Balance the interior angles and calculate the adjusted angles to the right.