Mathematics 4024 · O Level · Circle theorems I

Circle theorems I — practice question

The circle has centre $O$, and the points $A$, $B$, $C$, $D$ and $E$ are on its circumference. $\angle A\hat{O}B = 48^\circ$, $\angle DE\hat{B} = 54^\circ$.
(a)[2]

Determine $x$.

(b)[1]

Determine $y$.

(c)[1]

Determine $z$.

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