As shown in the figure, circle O is the circumscribed circle of triangle ABC  

As shown in the figure, circle O is the circumscribed circle of triangle ABC  

1) Because ∠ BCA is the circumference angle, so ∠ BCA = 90 degree = > BC parallel od = > ∠ BDO = ∠ CBD because ∠ BCA = 90 degree, ∠ BAC = 30 degree, so ∠ CBA = 60 degree, because ob = OD, so △ OBD is isosceles △ BDO = ∠ BAC = > ∠ BDO = ∠ BAC = ∠ CBD = & # 189; ∠ CBA = 30 degree, 2) rt △ a