Mathematics 0580 · IGCSE · Circle theorems I

Circle theorems I — practice question

The diagram depicts a cyclic quadrilateral $ABCE$. $AED$ and $BCD$ are straight lines. $AC=CD$, $\angle ABC=45^{\circ}$ and $\angle ACE=20^{\circ}$. The diagram is labelled NOT TO SCALE.
(main)[3]

Determine angle $ECD$.

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