A geometry problem by arko roychoudhury

Geometry Level 4

. Let ABCDE be a regular pentagon, and let F be a point on AB with ∠CDF = 55◦ . Suppose F C and BE meet at G, and select H on the extension of CE past E such that ∠DHE = ∠F DG. Find the measure of ∠GHD, in degrees.

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