Question 19
In isosceles triangle $ABC$, $AB=AC$ and $\angle BAC=20^\circ$. $D$ is the midpoint of $BC$ and $E$ the midpoint of $AD$. How many claims are true? (1) $\angle EBC=\angle ECB=60^\circ$; (2) $\angle ABC=\angle ACB=80^\circ$; (3) $\angle EAB=\angle EAC=10^\circ$; (4) $\angle AEB=\angle AEC=150^\circ$.