please give a detailed solution. Civil Engineering subShow a complete solution:

PREPARE THE ANGLE AND SIDE EQUATION OF THE

QUADRILATERAL SHOWN AND THE

CORRESPONDING OBSERVED ANGLES:

$\frac{}{{?}_1}=42$@${38}^{\text{'}}{31}^{\text{'}\text{'}}$

$\frac{?}{{?}_2}=64$@${52}^{\text{'}}{22}^{\text{'}\text{'}}$

$\frac{}{{?}_3}=40$@${32}^{\text{'}}{59}^{\text{'}\text{'}}$

$\frac{?}{{?}_4}=31$@${50}^{\text{'}}{08}^{\text{'}\text{'}}$

$\frac{?}{{?}_5}=62$@${00}^{\text{'}}{51}^{\text{'}\text{'}}$

$\frac{?}{{?}_6}=45$@${30}^{\text{'}}{02}^{\text{'}\text{'}}$

$\frac{}{{?}_7}=33$@${31}^{\text{'}}{30}^{\text{'}\text{'}}$

$\frac{?}{{?}_8}=38$@${57}^{\text{'}}{37}^{\text{'}\text{'}}$