Find the measures of [math]\angle{BAC}[/math] and [math]\angle{BDC}[/math].
[list=1] [*]Set up an equation to solve for [math]x[/math]. [*]Substitute the value of [math]x[/math] into the expression for [math]\angle{BDC}[/math] to find the measure of the inscribed angle. [*]Find the value of the central angle, [math]\angle{BAC}[/math]. [/list]