, 2022

The points $A$, $B$ and $C$ lie, in that order, on a straight line. Line $CD$ is perpendicular to $AC$, and $CD = AB$. The point $E$ lies on the line $AD$, between $A$ and $D$, so that $EB = EC = AB$.
(a) Draw a diagram to show this information. Your diagram need not be accurate or to scale, but you should clearly indicate which lengths are equal. (2 marks)
(b) Calculate the size of the angle $BAE$. (8 marks)