(a)[2]
Determine angle $BCD$. Give a geometrical reason for your answer.
(b(i))[2]
Determine angle $DBC$.
(b(ii))[1]
Determine angle $DCG$.
Mathematics 0580 · IGCSE · Circle theorems II
Circle theorems II — practice question
The points $A$, $B$, $C$, $D$ and $E$ all lie on one circle. $FG$ is tangent to the circle at $C$. $angle BAD = 110^\circ$, $angle ADB = 20^\circ$ and $angle BEC = 45^\circ$.
Worked solution & mark scheme
This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: “The answer is $70$, because opposite angles in a cyclic quadrilateral add to $180^\circ$.” …
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