$(20$ pts$)$ A $4-$sided traverse is set up in a field, and the following right$-$hand angles are made. Balance the angles.

Right Hand Angles

DAB $71{10}^{\text{'}}{41}^{\text{'}\text{'}}$

ABC $83{47}^{\text{'}}{38}^{\text{'}\text{'}}$

BCD $78{33}^{\text{'}}{17}^{\text{'}\text{'}}$

CDA $125{28}^{\text{'}}{12}^{\text{'}\text{'}}$

$7.(20$ pts$)$ Using the balanced angles from Question #$5$ calculate the azimuths in the following ordew

$AB$;

BC ;

$CD$ and

DA

NOTE: Show your calculations of the azimuth DA based on the azimuth you calculated from BC