The five$-$sided, closed traverse has the following angles and distance. Side $AB$ has an azimuth of $300{00}^{\text{'}}{00}^{\text{'}\text{'}}.$

$A=38{31}^{\text{'}}$

$B=100{38}^{\text{'}}$

$C=149{50}^{\text{'}}$

$D=85{59}^{\text{'}}$

$E=165{03}^{\text{'}}$

$AB=371\mathrm{.}006m$

$BC=110\mathrm{.}222m$

$CD=139\mathrm{.}872m$

$DE=103\mathrm{.}119m$

$EA=319\mathrm{.}860m$

a$)$ Perform a check for angular closure. $(10$ pts$)$

b$)$ Compute azimuths for all sides $(AB,BC,CD,DE,$ and $EA).(10$ pts$)$

c$)$ Compute the uncorrected departures and latitudes. $(20$ pts$)$

d$)$ Compute linear error of closure and the prevision ratio $($i$.$e$.,$ check relative error against acceptance$).(20$ pts$)$

e$)$ Adjust Departure and Latitude. $(20$ pts$).$

f$)$ Compute the coordinates of stations C$,$ D$,$ E$,$ and A$.$ Assume the coordinates of station B are $1000\mathrm{.}000$ m North and $1000\mathrm{.}000$ m East. $(20$ pts$)$