Mathematics 4024 · O Level · Circle theorems I

Circle theorems I — practice question

$A$, $B$, $C$ and $D$ lie on the circumference of a circle with centre $O$. Angle $BCD = 58^\circ$ and angle $DBC = 72^\circ$.
(a)[2]

Fill in the missing words. Angle $DAB =$ .......... because ..........

(b(i))[1]

Find the angle $DOC$.

(b(ii))[2]

Find the angle $BCO$.

Worked solution & mark scheme

This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: Angle $DAB =122^\circ$ because the opposite angles in a cyclic quadrilateral add up to $180^\circ$.

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