(a)[1]
Find the angle $\angle E\hat{A}D$.
(b)[1]
Find the angle $\angle E\hat{A}F$.
(c)[1]
Find the angle $\angle B\hat{E}A$.
(d)[2]
Find the angle $\angle B\hat{C}D$.
Mathematics 4024 · O Level · Circle theorems I
Circle theorems I — practice question
Points $A, B, C, D$ and $E$ lie on the circumference of a circle with centre $O$. The tangent $AF$ is drawn so that it touches the circle at $A$. $O$ is the midpoint of $AD$. $\angle DOE = 138^\circ$ and $\angle BEO = 12^\circ$.