A closed traverse with $S$ sides. The internal angles are shown in the table below. Balance the following angles. SHOW YOUR WORK!!

a$.$ What is the sum of the interior angles? $(5$ points$)$

b$.$ What is the total angular error and the correction term for each angle? $(5$ points$)$

c$.$ What are the balanced angles? $(10$ points$)$

$\backslash$table$[[$Station$,$Field Angle,Correction,Balanced Angle$],[1,881620,,],[2,764200,,],[3,2421830,,],[4,182420,,],[$S$,1142030,,]]$

For aclosed Traverse,

Sum of thterior Aigles$-(n-2)*180$

Angles are balanced by cguilly distriluting the angular error equally to eneth of the angles.