Mathematics 0580 · IGCSE · Circle theorems I

Circle theorems I — practice question

Points $A$, $B$ and $C$ lie on the circumference of a circle whose diameter is $AB$. A tangent has been drawn at $A$. The angle at $A$ between that tangent and line $AC$ is $42^\circ$. The diagram is NOT TO SCALE.
(a)[1]

Find the angle $BAC$.

(b)[2]

Find the angle $ABC$.

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