Question 42
The isosceles triangle $ABC$ has $\angle BAC = 30^\circ$ and $AB = AC$. Take the point $D$ on the side $AC$ and the distinct points $E$, $F$, $G$ on the side $AB$ so that $BC = BD = DE = EF$ and $DG = DF$.
a) Prove that $BF = GE$.
b) Find the measure of $\angle BCG$.

a) Prove that $BF = GE$.
b) Find the measure of $\angle BCG$.
