(1) - Incoming

$\text{ABC}$ is a triangle such that $\widehat{\text{CAB}} = 90^\circ$ , $\widehat{\text{ABC}} = \alpha$ , $\widehat{\text{BCA}} = \alpha + \beta$ ( $\beta < \alpha$ ). $\text{D}$ and $\text{E}$ are two points on line segment $\text{AB}$ such that $\widehat{\text{ACD}} = \widehat{\text{BCE}} = \beta$ and $\text{BE} = 2\text{AD}$ . What is the measurement of $\widehat{\text{BCA}}$ in degrees?