BdMO National Secondary 2010#5
Posted: Fri Feb 22, 2019 11:25 pm
Triangle $ABC$ is right angled at $B$.The bisector of $\angle {BAC}$ meets $BC$ at $D$.Let $G$ denote the centroid (common point of medians) of the triangle $ABC$.Suppose $GD$ is parallel to $AB$ .Find $\angle C$.