$1.$ Balance the following interior angles $($angles$-$to$-$the$-$right$)$ of a five$-$sided closed traverse using method $1$ described in the notes. A $=105\backslash$deg $1314,$ B $=92\backslash$deg $3606,$ C $=67\backslash$deg $1522,$ D $=217\backslash$deg $2430,$ and E $=57\backslash$deg $3038.$ If the azimuth of side AB is fixed at $122\backslash$deg $3216,$ calculate the azimuths of the remaining sides.

$2.$ Compute the departures and latitudes, linear misclosure, and relative precision for the traverse of the previous problem, if the lengths of the sides $($in feet$)$ are as follow: AB $=2157\mathrm{.}34,$ BC $=1722\mathrm{.}58,$ CD $=1318\mathrm{.}15,$ DE $=1536\mathrm{.}06,$ EA $=1785\mathrm{.}58(3$ decimal places$).$

$3.$ Using the compass rule, adjust the departures and latitudes of the traverse in the previous problem $(3$ decimal places$).$