Question 58
Let $ABC$ be an isosceles triangle with $\angle BAC = 100^\circ$. The angle bisector of $\angle ABC$ intersects $AC$ at $D$. The line perpendicular to $AC$ at $A$ intersects $BD$ at $M$. Point $E$ is on side $BC$ such that $AE = AM$ and $BE \lt CE$.
a) Show that $CA = CE$.
b) Find the measure of angle $\angle AEM$.
a) Show that $CA = CE$.
b) Find the measure of angle $\angle AEM$.