(a(i))[1]
State the mathematical name of line $AB$.
(a(ii))[1]
State the mathematical name of $PQ$.
(b(i))[1]
Determine the size of angle $COQ$.
(b(ii))[2]
Determine the size of angle $ABO$.
(b(iii))[2]
Determine the size of angle $OQC$.
Mathematics 0580 · IGCSE · Circle theorems I
Circle theorems I — practice question
The diagram depicts a circle with centre $O$. $A$, $B$ and $C$ lie on the circumference. $BC$ forms a diameter of the circle. $PQ$ is tangent to the circle at $C$, and $AOQ$ is a straight line. The angle shown at the centre is $48^\circ$.