$8\mathrm{.}1.$ A closed, five$-$sided traverse has the following interior angles: $A=112{14}^{\text{'}},B=101{11}^{\text{'}},C=89{42}^{\text{'}},D=122{22}^{\text{'}},E=?$ Find the angle at $E.$

$8\mathrm{.}2.$ A five$-$sided, closed traverse has the following interior angles:

$A=70{10}^{\text{'}}{30}^{\text{'}\text{'}}$

$B=142{41}^{\text{'}}{00}^{\text{'}\text{'}}$

$C=83{51}^{\text{'}}{30}^{\text{'}\text{'}}$

$D=117{25}^{\text{'}}{30}^{\text{'}\text{'}}$

$E=125{49}^{\text{'}}{00}^{\text{'}\text{'}}$

Determine the angular error, and balance the angles by applying equal corrections to each angle.