SOLUTION TO $10\mathrm{.}6,10\mathrm{.}5$ Balance the following interior angles $($angles$-$to$-$the$-$right$)$ of a five$-$sided closed polygon traverse using method $1$ of Section $10\mathrm{.}2.$ If the azimuth of side $AB$ is fixed at $138{16}^{\text{'}}{27}^{\text{'}\text{'}}$ calculate the azimuths of the remaining sides. $A=132{47}^{\text{'}}{08}^{\text{'}}B=108{46}^{\text{'}}{20}^{\text{'}\text{'}}$;$C=107{19}^{\text{'}}{39}^{\text{'}\text{'}}$;$D=81{50}^{\text{'}}{38}^{\text{'}\text{'}}$;$E=109{16}^{\text{'}}{20}^{\text{'}\text{'}}.$

$10\mathrm{.}6$ Compute departures and latitudes, linear misclosure, and relative precision for the traverse of Problem $10\mathrm{.}5$ if the lengths of the sides $($in feet$)$ are as follows: $AB=202\mathrm{.}74$;$BC=283\mathrm{.}87$;$CD=498\mathrm{.}37$;$DE=320\mathrm{.}33$; and $EA=380\mathrm{.}78$