Given a triangle ABCABCABC, let HHH be the orthocenter. If ∠BAC=60∘\angle BAC = 60^\circ∠BAC=60∘, find the measure of ∠BHC\angle BHC∠BHC.
100∘100^\circ100∘
120∘120^\circ120∘
135∘135^\circ135∘
150∘150^\circ150∘