Let ABCDE be a regular pentagon, and let F be a point on AB with \(\angle CDF = 55^o\). Suppose FC and BE meet at G, and select H on the extension of CE past E such that \( \angle DHE = \angle FDG\). Find the measure of \(\angle GHD\), in degrees with proof.

Edit: No one else solved this problem here is the solution.

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