Mathematics 4024 · O Level · Circle theorems II

Circle theorems II — practice question

On the diagram, $A,B,C,D$ are on the circle with centre $O$. $AD$ is a diameter. The tangent at $B$ to the circle intersects the extension of line $DA$ at $T$. $\angle A\hat{O}B=68^\circ$ and $\angle C\hat{A}O=43^\circ$.
(a)[1]

Work out $x$.

(b)[1]

Work out $y$.

(c)[1]

Work out $z$.

(d)[1]

Work out $t$.

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