Mathematics 0580 · IGCSE · Circle theorems I

Circle theorems I — practice question

Points A, B, C and D are on the circle. TAS is tangent to the circle at A. The diagram labels angles $37^\circ$, $41^\circ$, $x^\circ$ and $y^\circ$. The diagram is marked "NOT TO SCALE".
(a(i))[1]

Determine the value of $x$.

(a(ii))[1]

Determine the value of $y$.

(b)[2]

Determine the value of $w$.

Worked solution & mark scheme

This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: The value is $41$.

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