Q$2.($a$)$ Interior or exterior angles of A$,$ B$,$ C and D of a traverse shown in the following figure were measured as $298{39}^{\text{'}}{30}^{\text{'}\text{'}},118{39}^{\text{'}}{30}^{\text{'}\text{'}},122{29}^{\text{'}}{30}^{\text{'}\text{'}},$ and $302{29}^{\text{'}}{30}^{\text{'}\text{'}},$ respectively. The azimuth of line $AB$ is $150..$

$($i$)$ Perform a geometric check for the interior angles and correct interior angles if there is any error. $(5$ marks$)$

$($ii$)$ Determine the azimuths of lines $BA,CB,DC,$ and $AD$ in degrees $(($:$$