Question 56
Triangle $ABC$ is isosceles with basis $[BC]$ and points $E, G \in (AC)$, $F \in (BC)$, $H \in (AB)$ are such that $(BE$ is the bisector of angle $ABC$, $(EF$ is the bisector of angle $BEC$, $(FG$ is the bisector of angle $EFC$ and $(GH$ is the bisector of angle $EGF$. It is known that $GH \parallel BC$.
a) Prove that $GF \parallel AB$.
b) Find the measures of the angles of triangle $ABC$.
a) Prove that $GF \parallel AB$.
b) Find the measures of the angles of triangle $ABC$.