MathDB
2013-2014 Fall OMO #23

Source:

October 30, 2013
Online Math Open

Problem Statement

Let ABCDEABCDE be a regular pentagon, and let FF be a point on AB‾\overline{AB} with ∠CDF=55∘\angle CDF=55^\circ. Suppose FC‾\overline{FC} and BE‾\overline{BE} meet at GG, and select HH on the extension of CE‾\overline{CE} past EE such that ∠DHE=∠FDG\angle DHE=\angle FDG. Find the measure of ∠GHD\angle GHD, in degrees.
Proposed by David Stoner
Back to ProblemsView on AoPS