question_answer

A, B and C are three points on a circle. The tangent at C meets BA produced at T. Given that \[\angle \text{ATC}=\text{36}{}^\circ \]and \[\angle \text{ACT}=\text{48}{}^\circ \], find the angle subtended by AB at the centre of the circle.

A)  \[\text{9}0{}^\circ \]                                     

B)  \[\text{96}{}^\circ \]

C)  \[\text{1}0\text{8}{}^\circ \]                     

D)        \[~\text{12}0{}^\circ \]