Higher November 2022 Paper 3 Q17

AQACurrent spec3 marksCircle Theorems

17 A, B and C are points on a circle, centre O.

BD is a tangent to the circle.

OCD is a straight line.

Circle centre O with points A, B and C on the circumference. Angle BAC = 32 degrees. OB and OC are radii, BD is a tangent at B, and OCD is a straight line meeting the tangent at D, where angle BDO is marked x. Not drawn accurately

Work out the size of angle \(x\). [3 marks]