(a)[1]
Determine angle $DEG$.
(b)[1]
Determine angle $DOG$.
(c)[2]
Determine angle $DBC$.
Mathematics 4024 · O Level · Circle theorems I
Circle theorems I — practice question
The points $B,D,E,F$ and $G$ lie on the circumference of a circle whose centre is $O$. $AC$ is tangent to the circle at $B$. Angle $DFG=75^{\circ}$ and angle $ABG=48^{\circ}$.