(a)[1]
Calculate the value of $\angle BCA$.
(b)[2]
Calculate the value of $\angle ATB$.
Mathematics 4024 · O Level · Circle theorems I
Circle theorems I — practice question
$A$, $B$ and $C$ lie on the circumference of a circle with centre $O$. $O$ is the midpoint of $BC$ and $\angle ABC = 38^{\circ}$. From $T$, tangents are drawn so that they touch the circle at $A$ and $B$.