Mathematics 4024 · O Level · Circle theorems I

Circle theorems I — practice question

The diagram depicts a circle, with centre $O$, passing through $A,B,C$ and $D$. The tangents drawn at $A$ and $B$ intersect at $T$. $\angle ATB=62^\circ$ and $\angle DAB=53^\circ$.
(a)[1]

Find the value of $x$.

(b)[1]

Find the value of $y$.

(c)[1]

Find the value of $z$.

(d)[1]

Find the value of $t$.

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