Four interior angles of a five$-$sided polygon traverse were observed as $A=110{47}^{\text{'}}{59}^{\text{'}\text{'}},B=121{06}^{\text{'}}{12}^{\text{'}\text{'}},C=116{33}^{\text{'}}{32}^{\text{'}\text{'}},$ and $D=116{02}^{\text{'}}{25}^{\text{'}\text{'}}.$ The angle at $E$ was not observed.

Part A

If all observed angles are assumed to be correct, what is the value of angle $E?$

Express your answer in degrees to six significant figures.

$E=$