$(10$ pts$.).$ The interior angles of a five$-$sided closed traverse were measured using a total station by the Fall $2023$ BCT $305$ surveying course using the double angle method $($refer to lesson $12).$ Complete the table below to compute the correct angles at each station.

$\backslash$table$[[$STA$,$Single Angle,Double Angle,Average Angle,Corrected Angle$],[1,110{15}^{\text{'}}{20}^{\text{'}\text{'}},220{29}^{\text{'}}{50}^{\text{'}\text{'}},,],[2,91{04}^{\text{'}}{14}^{\text{'}\text{'}},182{16}^{\text{'}}{46}^{\text{'}\text{'}},,],[3,85{42}^{\text{'}}{10}^{\text{'}\text{'}},171{23}^{\text{'}}{54}^{\text{'}\text{'}},,],[4,123{20}^{\text{'}}{32}^{\text{'}\text{'}},246{41}^{\text{'}}{10}^{\text{'}\text{'}},,],[5,128{50}^{\text{'}}{50}^{\text{'}\text{'}},257{41}^{\text{'}}{20}^{\text{'}\text{'}},,],[,,]]$