Q$6.$ The horizontal circle readings shown below are taken using a theodolite correctly set up and levelled at point $T.$ Calculate the horizontal angles ATB, BTC$,$ CTD$,$ DTA.

$\backslash$table$[[$Point$,\backslash$table$[[$Face left reading$],[($Direct mode$)]],\backslash$table$[[$Face right reading$],[($Reverse mode$)]]],[A,00{23}^{\text{'}}{33}^{\text{'}\text{'}},180{23}^{\text{'}}{25}^{\text{'}\text{'}}$