Convert $92{52}^{\text{'}}{30}^{\text{'}\text{'}}$ to DD and $68\mathrm{.}4589$ to DMS$?$

The back$-$bearing of $xY$ is $S25{25}^{\text{'}}{36}^{\text{'}\text{'}}E.$ What is the fore$-$bearing of $xY?$

The bearings of the sides of a triangle $PQR$ are as follows:

$PQ=63{15}^{\text{'}}{23}^{\text{'}\text{'}}$

$QR=172{04}^{\text{'}}{21}^{\text{'}\text{'}}$

$RP=300{16}^{\text{'}}{14}^{\text{'}\text{'}}$

If $QP$ is $212ft$ long, calculate the lengths of the remaining sides of $PQR.$

$4.$ A five$-$sided closed field traverse has the following angle: $A=103{03}^{\text{'}}{30}^{\text{'}\text{'}},B=117{40}^{\text{'}}{00}^{\text{'}\text{'}},C=92{52}^{\text{'}}{30}^{\text{'}\text{'}},D=107{13}^{\text{'}}{30}^{\text{'}\text{'}},E=119{08}^{\text{'}}{00}^{\text{'}\text{'}}.$ Determine the angular error of closure and balance the angles by applying equal corrections to each angle.

$5.$ A closed five sided ABCD has the following bearings:

$AB=N65{24}^{\text{'}}{00}^{\text{'}\text{'}}E$

$BC=S46{26}^{\text{'}}{00}^{\text{'}\text{'}}E$

$CD=S14{30}^{\text{'}}{00}^{\text{'}\text{'}}W$

$DA=N66{43}^{\text{'}}{00}^{\text{'}\text{'}}W$

Compute the interior angles and provide a geometric check for your work.