[math]\overline{AB}[/math] is tangent to [math]\bigodot{C}[/math] at point [math]B[/math] as shown below. Find the length of [math]\overline{AB}[/math] as well as [math]m\widehat{BD}[/math].
[list=1] [*]Find the length of [math]\overline{AB}[/math]. [*]Find [math]m\widehat{BD}[/math]. [/list]