Answer
$120^{\circ}$
Work Step by Step
We can see that $\widehat{AB}$ and $\widehat{AC}$ make a semicircle, so their sum will be equal to $180^{\circ}$.
We need to find $\widehat{AC}$
$\widehat{AC}+60^{\circ}=180^{\circ}$
or, $\widehat{AC}=180^{\circ}-60^{\circ}=120^{\circ}$
