(a)[1]
Find, in terms of $x$, an expression for $\angle C\hat{O}B$.
(b)[2]
Find, in terms of $x$, an expression for $\angle O\hat{A}B$.
(c)[2]
Find, in terms of $x$, an expression for $\angle C\hat{B}O$.
Mathematics 4024 · O Level · Circle theorems I
Circle theorems I — practice question
Points $B$, $C$ and $D$ are located on the circumference of a circle with centre $O$. $AB$ is a tangent to the circle at $B$. $BD$ is a diameter, and $OCA$ lies on a straight line. $\angle CDB = x^{\circ}$.