Higher November 2017 Paper 3 Q19

AQACurrent spec2 marksCircle Theorems

19 \(A\), \(B\) and \(C\) are points on a circle.

\(CD\) is a tangent to the circle.

Triangle ABC inscribed in a circle, with angle A 60 degrees, angle B 65 degrees and angle ACB 55 degrees. CD is a tangent at C, and angle x is between CA and CD

Not drawn accurately

Write down the size of angle \(x\).

Give a reason for your answer. [2 marks]