Referring to the diagram, if $AB = BC = CD = DE = EF = FG = GA$, find $\angle DAE$.
In the figure, \(O\) is the centre of the circle and \(AC\) is the diameter. The line \(FEG\) is tangent to the circle at \(E\). If \(\angle GEC = 52^\circ\), find the value of \(\angle E + \angle C\).
