Mathematics 4024 · O Level · Circle theorems I

Circle theorems I — practice question

In the diagram, the points $A,B,C,D$ and $E$ are on the circle with centre $O$. The points $B,O$ and $E$ are collinear. $AB$ is parallel to $ED$ and $\angle DEO = 53^\circ$.
(a)[1]

Find $x$.

(b)[1]

Find $y$.

(c)[1]

Find $z$.

(d)[1]

Find $t$.

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