(a)[1]
Find the value of $\angle CP\hat{R}$.
(b)[1]
Find the value of $\angle C\hat{Q}R$.
(c)[1]
Find the value of $\angle AB\hat{D}$.
(d)[1]
Find the value of $\angle AD\hat{B}$.
Mathematics 4024 · O Level · Circle theorems I
Circle theorems I — practice question
In the diagram, the two circles intersect at $P$ and $Q$. The line $AB$ touches both circles at $A$ and $B$. $AD$ and $BC$ are diameters. $BD$ meets the larger circle at $R$. $\angle DBC = 40^\circ$.