Interior angles measured at the locations of a closed traverse $\text{ABCDA}$ are given in table below.
\[
\begin{array}{|c|c|}
\hline
\text{Location} & \text{Interior angle} \\
\hline
\text{A} & 71^\circ\ 1^{\prime}\ 40^{\prime\prime} \\
\hline
\text{B} & 104^\circ\ 54^{\prime}\ 23^{\prime\prime} \\
\hline
\text{C} & 107^\circ\ 54^{\prime}\ 10^{\prime\prime} \\
\hline
\text{D} & 76^\circ\ 20^{\prime}\ 42^{\prime\prime} \\
\hline
\end{array}
\]
The total error in the measured angles (in degrees) is $\_\_\_\_$ (rounded off to three decimal places).
