# Angle Chase!

Geometry Level 4

In $$\triangle ABC$$, $$\angle A=70^\circ$$, $$D$$ is on the side $$AC$$, and the angle bisector of $$\angle A$$ intersects $$BD$$ at $$H$$ and $$BC$$ at $$E$$ such that $$AH:HE=3:1$$ and $$BH:HD=5:3$$. Then what is the measure of $$\angle C$$ in degrees?

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