The traverse data given in following table contain the lengths and included angles of a traverse ABCDEA. The bearing of line AB was observed and recorded as $S36{12}^{\text{'}}{30}^{\text{'}\text{'}}E.$ Check the traverse for angles and closing errors, if any. According to accuracy of angles and distance measurement decide appropriate method of balancing the traverse and apply it to find out corrected latitudes and departures of all lines.

$\backslash$table$[[($a$)$ Theodolite Traverse Readings,$($b$)$ Levelling Readings$],[$Line$,\backslash$table$[[$Length$],[($m$)]],,\backslash$table$[[$Instrument$],[$Station$]],\backslash$table$[[$Height of$],[$Instrument$],[$above GL $($m$)]],\backslash$table$[[$Staff$],[$Station$]],\backslash$table$[[$Staff$],[$Reading$],[($m$)]]],[$AB$,102\mathrm{.}80,131{14}^{\text{'}}{30}^{\text{'}\text{'}},$A$,1\mathrm{.}500,$B$,0\mathrm{.}890],[$BC$,98\mathrm{.}40,84{19}^{\text{'}}{25}^{\text{'}\text{'}},$B$,1\mathrm{.}450,$C$,1\mathrm{.}105],[$CD$,110\mathrm{.}80,116{35}^{\text{'}}{25}^{\text{'}\text{'}},$C$,1\mathrm{.}400,$D$,1\mathrm{.}115],[$DE$,82\mathrm{.}80,119{58}^{\text{'}}{05}^{\text{'}\text{'}},$D$,1\mathrm{.}410,$E$,1\mathrm{.}005],[$EA$,113\mathrm{.}29,87{54}^{\text{'}}{05}^{\text{'}\text{'}},$E$,-,-,.]]$