Mathematics 4024 · O Level · Circle theorems I

Circle theorems I — practice question

On the circle, $A, B, C, D$ and $E$ are points. $AB$ runs parallel to $ED$. $\angle ABE = 62^\circ$, $\angle CDE = 127^\circ$ and $\angle BEC = 40^\circ$.
(a)[1]

Determine $x$.

(b)[1]

Determine $y$.

(c)[1]

Determine $z$.

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