Angle Chase!

Geometry Level 5

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?

80 45 75 55 None of the Above 65